101001000112212 has 24 divisors (see below), whose sum is σ = 240683234311296. Its totient is φ = 32950680887488.

The previous prime is 101001000112171. The next prime is 101001000112213. The reversal of 101001000112212 is 212211000100101.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101001000112213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 89539893153 + ... + 89539894280.

It is an arithmetic number, because the mean of its divisors is an integer number (10028468096304).

Almost surely, 2^{101001000112212} is an apocalyptic number.

101001000112212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101001000112212 is an abundant number, since it is smaller than the sum of its proper divisors (139682234199084).

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

101001000112212 is a wasteful number, since it uses less digits than its factorization.

101001000112212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179079787487 (or 179079787485 counting only the distinct ones).

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

Adding to 101001000112212 its reverse (212211000100101), we get a palindrome (313212000212313).

The spelling of 101001000112212 in words is "one hundred one trillion, one billion, one hundred twelve thousand, two hundred twelve".