101122112122020 has 72 divisors (see below), whose sum is σ = 334622261937600. Its totient is φ = 24514451423040.

The previous prime is 101122112121971. The next prime is 101122112122027. The reversal of 101122112122020 is 20221211221101.

101122112122020 is a `hidden beast` number, since 101 + 1 + 221 + 121 + 220 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101122112121984 and 101122112122002.

It is not an unprimeable number, because it can be changed into a prime (101122112122027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25535884920 + ... + 25535888879.

It is an arithmetic number, because the mean of its divisors is an integer number (4647531415800).

Almost surely, 2^{101122112122020} is an apocalyptic number.

101122112122020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101122112122020 is an abundant number, since it is smaller than the sum of its proper divisors (233500149815580).

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

101122112122020 is a wasteful number, since it uses less digits than its factorization.

101122112122020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51071773825 (or 51071773820 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 101122112122020 its reverse (20221211221101), we get a palindrome (121343323343121).

The spelling of 101122112122020 in words is "one hundred one trillion, one hundred twenty-two billion, one hundred twelve million, one hundred twenty-two thousand, twenty".