10102111022120 has 128 divisors (see below), whose sum is σ = 24633706487040. Its totient is φ = 3706322780160.

The previous prime is 10102111022099. The next prime is 10102111022137. The reversal of 10102111022120 is 2122011120101.

It is a super-2 number, since 2×10102111022120² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10102111022095 and 10102111022104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 509143400 + ... + 509163240.

It is an arithmetic number, because the mean of its divisors is an integer number (192450831930).

Almost surely, 2^{10102111022120} is an apocalyptic number.

10102111022120 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 10102111022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12316853243520).

10102111022120 is an abundant number, since it is smaller than the sum of its proper divisors (14531595464920).

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

10102111022120 is a wasteful number, since it uses less digits than its factorization.

10102111022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26035 (or 26031 counting only the distinct ones).

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

Adding to 10102111022120 its reverse (2122011120101), we get a palindrome (12224122142221).

The spelling of 10102111022120 in words is "ten trillion, one hundred two billion, one hundred eleven million, twenty-two thousand, one hundred twenty".