10100121220 has 192 divisors, whose sum is σ = 25671647232. Its totient is φ = 3265920000.

The previous prime is 10100121193. The next prime is 10100121271. The reversal of 10100121220 is 2212100101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 10100121197 and 10100121206.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37269685 + ... + 37269955.

It is an arithmetic number, because the mean of its divisors is an integer number (133706496).

Almost surely, 2^10100121220 is an apocalyptic number.

10100121220 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 10100121220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12835823616).

10100121220 is an abundant number, since it is smaller than the sum of its proper divisors (15571526012).

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

10100121220 is a wasteful number, since it uses less digits than its factorization.

10100121220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10100121220 its reverse (2212100101), we get a palindrome (12312221321).

It can be divided in two parts, 101001 and 21220, that added together give a palindrome (122221).

The spelling of 10100121220 in words is "ten billion, one hundred million, one hundred twenty-one thousand, two hundred twenty".