101122220201200 has 120 divisors (see below), whose sum is σ = 266810887184400. Its totient is φ = 36524926156800.

The previous prime is 101122220201147. The next prime is 101122220201243. The reversal of 101122220201200 is 2102022221101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

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 23 ways as a sum of consecutive naturals, for example, 76466289 + ... + 77777488.

It is an arithmetic number, because the mean of its divisors is an integer number (2223424059870).

Almost surely, 2^{101122220201200} is an apocalyptic number.

101122220201200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101122220201200 is an abundant number, since it is smaller than the sum of its proper divisors (165688666983200).

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

101122220201200 is a wasteful number, since it uses less digits than its factorization.

101122220201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154243955 (or 154243944 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 101122220201200 its reverse (2102022221101), we get a palindrome (103224242422301).

The spelling of 101122220201200 in words is "one hundred one trillion, one hundred twenty-two billion, two hundred twenty million, two hundred one thousand, two hundred".