10201012102000 has 240 divisors, whose sum is σ = 25629385489344. Its totient is φ = 3926832000000.

The previous prime is 10201012101961. The next prime is 10201012102003. The reversal of 10201012102000 is 20121010201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201012102003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 523092250 + ... + 523111750.

Almost surely, 2^{10201012102000} is an apocalyptic number.

10201012102000 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 10201012102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12814692744672).

10201012102000 is an abundant number, since it is smaller than the sum of its proper divisors (15428373387344).

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

10201012102000 is a wasteful number, since it uses less digits than its factorization.

10201012102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19893 (or 19848 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10201012102000 its reverse (20121010201), we get a palindrome (10221133112201).

The spelling of 10201012102000 in words is "ten trillion, two hundred one billion, twelve million, one hundred two thousand".