101012210100 has 54 divisors (see below), whose sum is σ = 316617163590. Its totient is φ = 26936589120.

The previous prime is 101012210077. The next prime is 101012210191. The reversal of 101012210100 is 1012210101.

It is a happy number.

101012210100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 2763815184 + 98248394916 = 52572^2 + 313446^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 56116995 + ... + 56118794.

Almost surely, 2^101012210100 is an apocalyptic number.

101012210100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101012210100 is an abundant number, since it is smaller than the sum of its proper divisors (215604953490).

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

101012210100 is a wasteful number, since it uses less digits than its factorization.

101012210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112235809 (or 112235799 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101012210100 its reverse (1012210101), we get a palindrome (102024420201).

Subtracting from 101012210100 its reverse (1012210101), we obtain a palindrome (99999999999).

The spelling of 101012210100 in words is "one hundred one billion, twelve million, two hundred ten thousand, one hundred".