101212012100 has 18 divisors (see below), whose sum is σ = 219630066474. Its totient is φ = 40484804800.

The previous prime is 101212012063. The next prime is 101212012117. The reversal of 101212012100 is 1210212101.

It can be written as a sum of positive squares in 3 ways, for example, as 17246518276 + 83965493824 = 131326^2 + 289768^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 506059961 + ... + 506060160.

Almost surely, 2^101212012100 is an apocalyptic number.

101212012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101212012100 is an abundant number, since it is smaller than the sum of its proper divisors (118418054374).

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

101212012100 is a wasteful number, since it uses less digits than its factorization.

101212012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012120135 (or 1012120128 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101212012100 its reverse (1210212101), we get a palindrome (102422224201).

The spelling of 101212012100 in words is "one hundred one billion, two hundred twelve million, twelve thousand, one hundred".