102011010111120 has 160 divisors (see below), whose sum is σ = 356111162855424. Its totient is φ = 23932201766400.

The previous prime is 102011010111083. The next prime is 102011010111121. The reversal of 102011010111120 is 21111010110201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 102011010111096 and 102011010111105.

It is not an unprimeable number, because it can be changed into a prime (102011010111121) 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, 623152582 + ... + 623316261.

Almost surely, 2^{102011010111120} is an apocalyptic number.

102011010111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102011010111120 is an abundant number, since it is smaller than the sum of its proper divisors (254100152744304).

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

102011010111120 is a wasteful number, since it uses less digits than its factorization.

102011010111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1246468901 (or 1246468895 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 102011010111120 its reverse (21111010110201), we get a palindrome (123122020221321).

The spelling of 102011010111120 in words is "one hundred two trillion, eleven billion, ten million, one hundred eleven thousand, one hundred twenty".