102111010000000 has 512 divisors, whose sum is σ = 270692764056000. Its totient is φ = 38234112000000.

The previous prime is 102111009999961. The next prime is 102111010000031. The reversal of 102111010000000 is 10111201.

It can be written as a sum of positive squares in 32 ways, for example, as 95714602491456 + 6396407508544 = 9783384^2 + 2529112^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33489998476 + ... + 33490001524.

Almost surely, 2^{102111010000000} is an apocalyptic number.

102111010000000 is a gapful number since it is divisible by the number (10) 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 102111010000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135346382028000).

102111010000000 is an abundant number, since it is smaller than the sum of its proper divisors (168581754056000).

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

102111010000000 is an frugal number, since it uses more digits than its factorization.

102111010000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3312 (or 3270 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 102111010000000 its reverse (10111201), we get a palindrome (102111020111201).

The spelling of 102111010000000 in words is "one hundred two trillion, one hundred eleven billion, ten million", and thus it is an aban number.