100122122012121 has 48 divisors (see below), whose sum is σ = 166082641920000. Its totient is φ = 57482626410720.

The previous prime is 100122122012119. The next prime is 100122122012123. The reversal of 100122122012121 is 121210221221001.

100122122012121 is a `hidden beast` number, since 10 + 0 + 1 + 221 + 220 + 1 + 212 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (100122122012119) and next prime (100122122012123).

It is not a de Polignac number, because 100122122012121 - 2¹ = 100122122012119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100122122012094 and 100122122012103.

It is not an unprimeable number, because it can be changed into a prime (100122122012123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27157480 + ... + 30623078.

It is an arithmetic number, because the mean of its divisors is an integer number (3460055040000).

Almost surely, 2^{100122122012121} is an apocalyptic number.

100122122012121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100122122012121 is a deficient number, since it is larger than the sum of its proper divisors (65960519907879).

100122122012121 is a wasteful number, since it uses less digits than its factorization.

100122122012121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3480994 (or 3480991 counting only the distinct ones).

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

Adding to 100122122012121 its reverse (121210221221001), we get a palindrome (221332343233122).

The spelling of 100122122012121 in words is "one hundred trillion, one hundred twenty-two billion, one hundred twenty-two million, twelve thousand, one hundred twenty-one".