101212100100 has 126 divisors (see below), whose sum is σ = 329294984970. Its totient is φ = 26989873920.

The previous prime is 101212100089. The next prime is 101212100183. The reversal of 101212100100 is 1001212101.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 29358080964 + 71854019136 = 171342^2 + 268056^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 621285 + ... + 767084.

Almost surely, 2^101212100100 is an apocalyptic number.

101212100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101212100100 is an abundant number, since it is smaller than the sum of its proper divisors (228082884870).

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

101212100100 is a wasteful number, since it uses less digits than its factorization.

101212100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1388401 (or 1388379 counting only the distinct ones).

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

Adding to 101212100100 its reverse (1001212101), we get a palindrome (102213312201).

The spelling of 101212100100 in words is "one hundred one billion, two hundred twelve million, one hundred thousand, one hundred".