102111002112 has 160 divisors (see below), whose sum is σ = 329179859712. Its totient is φ = 27458371584.

The previous prime is 102111002087. The next prime is 102111002113. The reversal of 102111002112 is 211200111201.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102111002113) 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, 96538 + ... + 462105.

Almost surely, 2^102111002112 is an apocalyptic number.

102111002112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102111002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164589929856).

102111002112 is an abundant number, since it is smaller than the sum of its proper divisors (227068857600).

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

102111002112 is an equidigital number, since it uses as much as digits as its factorization.

102111002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558688 (or 558672 counting only the distinct ones).

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

Adding to 102111002112 its reverse (211200111201), we get a palindrome (313311113313).

The spelling of 102111002112 in words is "one hundred two billion, one hundred eleven million, two thousand, one hundred twelve".