102101112010121 has 16 divisors (see below), whose sum is σ = 124604567024640. Its totient is φ = 81771747099840.

The previous prime is 102101112010109. The next prime is 102101112010187. The reversal of 102101112010121 is 121010211101201.

It is a de Polignac number, because none of the positive numbers 2^k-102101112010121 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102101112010096 and 102101112010105.

It is not an unprimeable number, because it can be changed into a prime (102101112010421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8112270206 + ... + 8112282791.

It is an arithmetic number, because the mean of its divisors is an integer number (7787785439040).

Almost surely, 2^{102101112010121} is an apocalyptic number.

It is an amenable number.

102101112010121 is a deficient number, since it is larger than the sum of its proper divisors (22503455014519).

102101112010121 is a wasteful number, since it uses less digits than its factorization.

102101112010121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16224553064.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 102101112010121 its reverse (121010211101201), we get a palindrome (223111323111322).

The spelling of 102101112010121 in words is "one hundred two trillion, one hundred one billion, one hundred twelve million, ten thousand, one hundred twenty-one".