101123032212 has 36 divisors (see below), whose sum is σ = 255767692180. Its totient is φ = 33687747072.

The previous prime is 101123032201. The next prime is 101123032243. The reversal of 101123032212 is 212230321101.

101123032212 is a `hidden beast` number, since 101 + 1 + 230 + 322 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 80835587856 + 20287444356 = 284316^2 + 142434^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×101123032212² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 768637 + ... + 890532.

Almost surely, 2^101123032212 is an apocalyptic number.

101123032212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101123032212 is an abundant number, since it is smaller than the sum of its proper divisors (154644659968).

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

101123032212 is a wasteful number, since it uses less digits than its factorization.

101123032212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1660872 (or 1660867 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 101123032212 its reverse (212230321101), we get a palindrome (313353353313).

The spelling of 101123032212 in words is "one hundred one billion, one hundred twenty-three million, thirty-two thousand, two hundred twelve".