102010313010000 has 400 divisors, whose sum is σ = 330798943403456. Its totient is φ = 27079363584000.

The previous prime is 102010313009879. The next prime is 102010313010017. The reversal of 102010313010000 is 10313010201.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×102010313010000² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9279564504 + ... + 9279575496.

Almost surely, 2^{102010313010000} is an apocalyptic number.

102010313010000 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 102010313010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165399471701728).

102010313010000 is an abundant number, since it is smaller than the sum of its proper divisors (228788630393456).

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

102010313010000 is a wasteful number, since it uses less digits than its factorization.

102010313010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12400 (or 12379 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 102010313010000 its reverse (10313010201), we get a palindrome (102020626020201).

The spelling of 102010313010000 in words is "one hundred two trillion, ten billion, three hundred thirteen million, ten thousand".