102101010020121 has 32 divisors (see below), whose sum is σ = 160604085035008. Its totient is φ = 56460402414720.

The previous prime is 102101010019999. The next prime is 102101010020161. The reversal of 102101010020121 is 121020010101201.

It is a de Polignac number, because none of the positive numbers 2^k-102101010020121 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102101010020097 and 102101010020106.

It is not an unprimeable number, because it can be changed into a prime (102101010020161) 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 31 ways as a sum of consecutive naturals, for example, 36767946 + ... + 39447228.

It is an arithmetic number, because the mean of its divisors is an integer number (5018877657344).

Almost surely, 2^{102101010020121} is an apocalyptic number.

It is an amenable number.

102101010020121 is a deficient number, since it is larger than the sum of its proper divisors (58503075014887).

102101010020121 is a wasteful number, since it uses less digits than its factorization.

102101010020121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2737861.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 102101010020121 its reverse (121020010101201), we get a palindrome (223121020121322).

The spelling of 102101010020121 in words is "one hundred two trillion, one hundred one billion, ten million, twenty thousand, one hundred twenty-one".