101212112100 has 144 divisors (see below), whose sum is σ = 327254429376. Its totient is φ = 23937792000.

The previous prime is 101212112081. The next prime is 101212112123. The reversal of 101212112100 is 1211212101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 238729 + ... + 509328.

It is an arithmetic number, because the mean of its divisors is an integer number (2272600204).

Almost surely, 2^101212112100 is an apocalyptic number.

101212112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101212112100 is an abundant number, since it is smaller than the sum of its proper divisors (226042317276).

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

101212112100 is a wasteful number, since it uses less digits than its factorization.

101212112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748126 (or 748119 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101212112100 its reverse (1211212101), we get a palindrome (102423324201).

It can be divided in two parts, 101212 and 112100, that added together give a palindrome (213312).

The spelling of 101212112100 in words is "one hundred one billion, two hundred twelve million, one hundred twelve thousand, one hundred".