102011002001112 has 128 divisors (see below), whose sum is σ = 275362153689600. Its totient is φ = 31376425113600.

The previous prime is 102011002001093. The next prime is 102011002001147. The reversal of 102011002001112 is 211100200110201.

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

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 4651339 + ... + 15021882.

It is an arithmetic number, because the mean of its divisors is an integer number (2151266825700).

Almost surely, 2^{102011002001112} is an apocalyptic number.

102011002001112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102011002001112 is an abundant number, since it is smaller than the sum of its proper divisors (173351151688488).

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

102011002001112 is a wasteful number, since it uses less digits than its factorization.

102011002001112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19673497 (or 19673493 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 102011002001112 its reverse (211100200110201), we get a palindrome (313111202111313).

The spelling of 102011002001112 in words is "one hundred two trillion, eleven billion, two million, one thousand, one hundred twelve".