1002100122121 has 16 divisors (see below), whose sum is σ = 1233601118208. Its totient is φ = 795094462800.

The previous prime is 1002100122073. The next prime is 1002100122203. The reversal of 1002100122121 is 1212210012001.

It is a cyclic number.

It is not a de Polignac number, because 1002100122121 - 2⁷ = 1002100121993 is a prime.

It is a super-2 number, since 2×1002100122121² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1002100122721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100385725 + ... + 100395706.

It is an arithmetic number, because the mean of its divisors is an integer number (77100069888).

Almost surely, 2^{1002100122121} is an apocalyptic number.

It is an amenable number.

1002100122121 is a deficient number, since it is larger than the sum of its proper divisors (231500996087).

1002100122121 is a wasteful number, since it uses less digits than its factorization.

1002100122121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200781492.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1002100122121 its reverse (1212210012001), we get a palindrome (2214310134122).

The spelling of 1002100122121 in words is "one trillion, two billion, one hundred million, one hundred twenty-two thousand, one hundred twenty-one".