102010112321000 has 128 divisors (see below), whose sum is σ = 257115538461600. Its totient is φ = 37657938124800.

The previous prime is 102010112320993. The next prime is 102010112321093. The reversal of 102010112321000 is 123211010201.

It can be written as a sum of positive squares in 16 ways, for example, as 11383609636 + 101998728711364 = 106694^2 + 10099442^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66227606 + ... + 67750394.

Almost surely, 2^{102010112321000} is an apocalyptic number.

102010112321000 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 102010112321000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128557769230800).

102010112321000 is an abundant number, since it is smaller than the sum of its proper divisors (155105426140600).

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

102010112321000 is a wasteful number, since it uses less digits than its factorization.

102010112321000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1527976 (or 1527962 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 102010112321000 its reverse (123211010201), we get a palindrome (102133323331201).

The spelling of 102010112321000 in words is "one hundred two trillion, ten billion, one hundred twelve million, three hundred twenty-one thousand".