101122101210200 has 96 divisors (see below), whose sum is σ = 268745712075360. Its totient is φ = 34664003328000.

The previous prime is 101122101210199. The next prime is 101122101210239. The reversal of 101122101210200 is 2012101221101.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 853550 + ... + 14246850.

It is an arithmetic number, because the mean of its divisors is an integer number (2799434500785).

Almost surely, 2^{101122101210200} is an apocalyptic number.

101122101210200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101122101210200 is an abundant number, since it is smaller than the sum of its proper divisors (167623610865160).

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

101122101210200 is a wasteful number, since it uses less digits than its factorization.

101122101210200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13398717 (or 13398708 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101122101210200 its reverse (2012101221101), we get a palindrome (103134202431301).

The spelling of 101122101210200 in words is "one hundred one trillion, one hundred twenty-two billion, one hundred one million, two hundred ten thousand, two hundred".