102111023310120 has 576 divisors, whose sum is σ = 375916836859200. Its totient is φ = 23836732047360.

The previous prime is 102111023310103. The next prime is 102111023310161. The reversal of 102111023310120 is 21013320111201.

102111023310120 is a `hidden beast` number, since 1 + 0 + 211 + 1 + 0 + 2 + 331 + 0 + 120 = 666.

It is a super-2 number, since 2×102111023310120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102111023310093 and 102111023310102.

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 143 ways as a sum of consecutive naturals, for example, 525763191 + ... + 525957369.

It is an arithmetic number, because the mean of its divisors is an integer number (652633397325).

Almost surely, 2^{102111023310120} is an apocalyptic number.

102111023310120 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 102111023310120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187958418429600).

102111023310120 is an abundant number, since it is smaller than the sum of its proper divisors (273805813549080).

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

102111023310120 is a wasteful number, since it uses less digits than its factorization.

102111023310120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194378 (or 194334 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 102111023310120 its reverse (21013320111201), we get a palindrome (123124343421321).

The spelling of 102111023310120 in words is "one hundred two trillion, one hundred eleven billion, twenty-three million, three hundred ten thousand, one hundred twenty".