101122122121020 has 576 divisors, whose sum is σ = 429945822028800. Its totient is φ = 19396050670080.

The previous prime is 101122122120977. The next prime is 101122122121057. The reversal of 101122122121020 is 20121221221101.

101122122121020 is a `hidden beast` number, since 1 + 0 + 11 + 221 + 221 + 210 + 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 = 101122122120984 and 101122122121002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9578800 + ... + 17146359.

It is an arithmetic number, because the mean of its divisors is an integer number (746433718800).

Almost surely, 2^{101122122121020} is an apocalyptic number.

101122122121020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101122122121020 is an abundant number, since it is smaller than the sum of its proper divisors (328823699907780).

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

101122122121020 is a wasteful number, since it uses less digits than its factorization.

101122122121020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26725215 (or 26725200 counting only the distinct ones).

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

Adding to 101122122121020 its reverse (20121221221101), we get a palindrome (121243343342121).

The spelling of 101122122121020 in words is "one hundred one trillion, one hundred twenty-two billion, one hundred twenty-two million, one hundred twenty-one thousand, twenty".