102011012112 has 40 divisors (see below), whose sum is σ = 264984428800. Its totient is φ = 33815802240.

The previous prime is 102011012111. The next prime is 102011012119. The reversal of 102011012112 is 211210110201.

It is a super-2 number, since 2×102011012112² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (102011012111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5862112 + ... + 5879487.

It is an arithmetic number, because the mean of its divisors is an integer number (6624610720).

Almost surely, 2^102011012112 is an apocalyptic number.

102011012112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102011012112 is an abundant number, since it is smaller than the sum of its proper divisors (162973416688).

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

102011012112 is a wasteful number, since it uses less digits than its factorization.

102011012112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11741791 (or 11741785 counting only the distinct ones).

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

Adding to 102011012112 its reverse (211210110201), we get a palindrome (313221122313).

The spelling of 102011012112 in words is "one hundred two billion, eleven million, twelve thousand, one hundred twelve".