101122212110100 has 36 divisors (see below), whose sum is σ = 292580267039424. Its totient is φ = 26965923229280.

The previous prime is 101122212110077. The next prime is 101122212110141. The reversal of 101122212110100 is 1011212221101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101122212110100.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 168537019884 + ... + 168537020483.

It is an arithmetic number, because the mean of its divisors is an integer number (8127229639984).

Almost surely, 2^{101122212110100} is an apocalyptic number.

101122212110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101122212110100 is an abundant number, since it is smaller than the sum of its proper divisors (191458054929324).

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

101122212110100 is a wasteful number, since it uses less digits than its factorization.

101122212110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337074040384 (or 337074040377 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 101122212110100 its reverse (1011212221101), we get a palindrome (102133424331201).

The spelling of 101122212110100 in words is "one hundred one trillion, one hundred twenty-two billion, two hundred twelve million, one hundred ten thousand, one hundred".