101012020010000 has 800 divisors, whose sum is σ = 290695060503936. Its totient is φ = 33579520000000.

The previous prime is 101012020009981. The next prime is 101012020010047. The reversal of 101012020010000 is 10020210101.

101012020010000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 101012020010000.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 10010104955 + ... + 10010115045.

Almost surely, 2^{101012020010000} is an apocalyptic number.

101012020010000 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 101012020010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145347530251968).

101012020010000 is an abundant number, since it is smaller than the sum of its proper divisors (189683040493936).

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

101012020010000 is a wasteful number, since it uses less digits than its factorization.

101012020010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10301 (or 10280 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 101012020010000 its reverse (10020210101), we get a palindrome (101022040220101).

The spelling of 101012020010000 in words is "one hundred one trillion, twelve billion, twenty million, ten thousand".