101012100 has 144 divisors (see below), whose sum is σ = 337978368. Its totient is φ = 22815360.

The previous prime is 101012089. The next prime is 101012137. The reversal of 101012100 is 1210101.

101012100 is digitally balanced in base 9, 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 (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

101012100 is strictly pandigital in base 9.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 216067 + ... + 216533.

It is an arithmetic number, because the mean of its divisors is an integer number (2347072).

Almost surely, 2^101012100 is an apocalyptic number.

101012100 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 101012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168989184).

101012100 is an abundant number, since it is smaller than the sum of its proper divisors (236966268).

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

101012100 is a wasteful number, since it uses less digits than its factorization.

101012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

The square root of 101012100 is about 10050.4776005919. The cubic root of 101012100 is about 465.7195473365.

Adding to 101012100 its reverse (1210101), we get a palindrome (102222201).

The spelling of 101012100 in words is "one hundred one million, twelve thousand, one hundred".