10121222120020 has 96 divisors (see below), whose sum is σ = 24571849550976. Its totient is φ = 3460967731200.

The previous prime is 10121222119979. The next prime is 10121222120047. The reversal of 10121222120020 is 2002122212101.

It is a happy number.

It is a super-3 number, since 3×10121222120020³ (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10121222119976 and 10121222120003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3186160 + ... + 5513080.

It is an arithmetic number, because the mean of its divisors is an integer number (255956766156).

Almost surely, 2^{10121222120020} is an apocalyptic number.

10121222120020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10121222120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12285924775488).

10121222120020 is an abundant number, since it is smaller than the sum of its proper divisors (14450627430956).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10121222120020 is a wasteful number, since it uses less digits than its factorization.

10121222120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2328121 (or 2328119 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10121222120020 its reverse (2002122212101), we get a palindrome (12123344332121).

The spelling of 10121222120020 in words is "ten trillion, one hundred twenty-one billion, two hundred twenty-two million, one hundred twenty thousand, twenty".