101212100112100 has 18 divisors (see below), whose sum is σ = 219630257243474. Its totient is φ = 40484840044800.

The previous prime is 101212100112091. The next prime is 101212100112103. The reversal of 101212100112100 is 1211001212101.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 7493282112996 + 93718817999104 = 2737386^2 + 9680848^2 .

It is not an unprimeable number, because it can be changed into a prime (101212100112103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 506060500461 + ... + 506060500660.

Almost surely, 2^{101212100112100} is an apocalyptic number.

101212100112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101212100112100 is an abundant number, since it is smaller than the sum of its proper divisors (118418157131374).

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

101212100112100 is a wasteful number, since it uses less digits than its factorization.

101212100112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012121001135 (or 1012121001128 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101212100112100 its reverse (1211001212101), we get a palindrome (102423101324201).

The spelling of 101212100112100 in words is "one hundred one trillion, two hundred twelve billion, one hundred million, one hundred twelve thousand, one hundred".