10122210202120 has 32 divisors (see below), whose sum is σ = 22775602893120. Its totient is φ = 4048772091840.

The previous prime is 10122210202067. The next prime is 10122210202121. The reversal of 10122210202120 is 2120201222101.

It is a happy number.

It is a super-2 number, since 2×10122210202120² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10122210202094 and 10122210202103.

It is not an unprimeable number, because it can be changed into a prime (10122210202121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2027766 + ... + 4935205.

It is an arithmetic number, because the mean of its divisors is an integer number (711737590410).

Almost surely, 2^{10122210202120} is an apocalyptic number.

10122210202120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10122210202120 is an abundant number, since it is smaller than the sum of its proper divisors (12653392691000).

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

10122210202120 is a wasteful number, since it uses less digits than its factorization.

10122210202120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6999325 (or 6999321 counting only the distinct ones).

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

Adding to 10122210202120 its reverse (2120201222101), we get a palindrome (12242411424221).

The spelling of 10122210202120 in words is "ten trillion, one hundred twenty-two billion, two hundred ten million, two hundred two thousand, one hundred twenty".