101122121121021 has 128 divisors (see below), whose sum is σ = 203567663738880. Its totient is φ = 47905908537600.

The previous prime is 101122121121019. The next prime is 101122121121023. The reversal of 101122121121021 is 120121121221101.

It is a happy number.

101122121121021 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 221 + 211 + 210 + 21 = 666.

It is an interprime number because it is at equal distance from previous prime (101122121121019) and next prime (101122121121023).

It is not a de Polignac number, because 101122121121021 - 2¹ = 101122121121019 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101122121120985 and 101122121121003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101122121121023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20296050 + ... + 24782531.

It is an arithmetic number, because the mean of its divisors is an integer number (1590372372960).

Almost surely, 2^{101122121121021} is an apocalyptic number.

101122121121021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101122121121021 is an abundant number, since it is smaller than the sum of its proper divisors (102445542617859).

101122121121021 is a wasteful number, since it uses less digits than its factorization.

101122121121021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45078704 (or 45078698 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 101122121121021 its reverse (120121121221101), we get a palindrome (221243242342122).

The spelling of 101122121121021 in words is "one hundred one trillion, one hundred twenty-two billion, one hundred twenty-one million, one hundred twenty-one thousand, twenty-one".