10121021011220 has 96 divisors (see below), whose sum is σ = 25569728593920. Its totient is φ = 3287322230400.

The previous prime is 10121021011141. The next prime is 10121021011247. The reversal of 10121021011220 is 2211012012101.

It is a super-2 number, since 2×10121021011220² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 10121021011195 and 10121021011204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 148040045 + ... + 148108395.

It is an arithmetic number, because the mean of its divisors is an integer number (266351339520).

Almost surely, 2^{10121021011220} is an apocalyptic number.

10121021011220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10121021011220 is an abundant number, since it is smaller than the sum of its proper divisors (15448707582700).

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

10121021011220 is a wasteful number, since it uses less digits than its factorization.

10121021011220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124053 (or 124051 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10121021011220 its reverse (2211012012101), we get a palindrome (12332033023321).

The spelling of 10121021011220 in words is "ten trillion, one hundred twenty-one billion, twenty-one million, eleven thousand, two hundred twenty".