101122201100120 has 16 divisors (see below), whose sum is σ = 227524952475360. Its totient is φ = 40448880440032.

The previous prime is 101122201100113. The next prime is 101122201100143. The reversal of 101122201100120 is 21001102221101.

It is a super-2 number, since 2×101122201100120² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101122201100095 and 101122201100104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1264027513712 + ... + 1264027513791.

It is an arithmetic number, because the mean of its divisors is an integer number (14220309529710).

Almost surely, 2^{101122201100120} is an apocalyptic number.

101122201100120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101122201100120 is an abundant number, since it is smaller than the sum of its proper divisors (126402751375240).

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

101122201100120 is a wasteful number, since it uses less digits than its factorization.

101122201100120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2528055027514 (or 2528055027510 counting only the distinct ones).

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

Adding to 101122201100120 its reverse (21001102221101), we get a palindrome (122123303321221).

The spelling of 101122201100120 in words is "one hundred one trillion, one hundred twenty-two billion, two hundred one million, one hundred thousand, one hundred twenty".