102102111111120 has 80 divisors (see below), whose sum is σ = 316520123623872. Its totient is φ = 27226921743360.

The previous prime is 102102111111097. The next prime is 102102111111127. The reversal of 102102111111120 is 21111111201201.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102102111111120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102102111111127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19268739 + ... + 23989341.

Almost surely, 2^{102102111111120} is an apocalyptic number.

102102111111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102102111111120 is an abundant number, since it is smaller than the sum of its proper divisors (214418012512752).

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

102102111111120 is a wasteful number, since it uses less digits than its factorization.

102102111111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4810740 (or 4810734 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 102102111111120 its reverse (21111111201201), we get a palindrome (123213222312321).

The spelling of 102102111111120 in words is "one hundred two trillion, one hundred two billion, one hundred eleven million, one hundred eleven thousand, one hundred twenty".