102111121111120 has 160 divisors (see below), whose sum is σ = 261580258970496. Its totient is φ = 36760157952000.

The previous prime is 102111121111117. The next prime is 102111121111121. The reversal of 102111121111120 is 21111121111201.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 102111121111094 and 102111121111103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102111121111121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1037802567 + ... + 1037900953.

Almost surely, 2^{102111121111120} is an apocalyptic number.

102111121111120 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 102111121111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130790129485248).

102111121111120 is an abundant number, since it is smaller than the sum of its proper divisors (159469137859376).

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

102111121111120 is a wasteful number, since it uses less digits than its factorization.

102111121111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110189 (or 110183 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 16.

Adding to 102111121111120 its reverse (21111121111201), we get a palindrome (123222242222321).

The spelling of 102111121111120 in words is "one hundred two trillion, one hundred eleven billion, one hundred twenty-one million, one hundred eleven thousand, one hundred twenty".