101122101121100 has 18 divisors (see below), whose sum is σ = 219434959433004. Its totient is φ = 40448840448400.

The previous prime is 101122101121079. The next prime is 101122101121103. The reversal of 101122101121100 is 1121101221101.

It is not an unprimeable number, because it can be changed into a prime (101122101121103) 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 5 ways as a sum of consecutive naturals, for example, 505610505506 + ... + 505610505705.

Almost surely, 2^{101122101121100} is an apocalyptic number.

101122101121100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101122101121100 is an abundant number, since it is smaller than the sum of its proper divisors (118312858311904).

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

101122101121100 is a wasteful number, since it uses less digits than its factorization.

101122101121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1011221011225 (or 1011221011218 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 101122101121100 its reverse (1121101221101), we get a palindrome (102243202342201).

The spelling of 101122101121100 in words is "one hundred one trillion, one hundred twenty-two billion, one hundred one million, one hundred twenty-one thousand, one hundred".