102011202011112 has 64 divisors (see below), whose sum is σ = 262212216456960. Its totient is φ = 33051959884800.

The previous prime is 102011202011107. The next prime is 102011202011119. The reversal of 102011202011112 is 211110202110201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 102011202011091 and 102011202011100.

It is not an unprimeable number, because it can be changed into a prime (102011202011119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 191006253 + ... + 191539580.

It is an arithmetic number, because the mean of its divisors is an integer number (4097065882140).

Almost surely, 2^{102011202011112} is an apocalyptic number.

102011202011112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102011202011112 is an abundant number, since it is smaller than the sum of its proper divisors (160201014445848).

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

102011202011112 is a wasteful number, since it uses less digits than its factorization.

102011202011112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382546154 (or 382546150 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 102011202011112 its reverse (211110202110201), we get a palindrome (313121404121313).

The spelling of 102011202011112 in words is "one hundred two trillion, eleven billion, two hundred two million, eleven thousand, one hundred twelve".