102121112000121 has 16 divisors (see below), whose sum is σ = 137920016578560. Its totient is φ = 67201911513360.

The previous prime is 102121112000101. The next prime is 102121112000137. The reversal of 102121112000121 is 121000211121201.

It is a happy number.

It is not a de Polignac number, because 102121112000121 - 2⁷ = 102121111999993 is a prime.

It is a super-3 number, since 3×102121112000121³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 102121112000121.

It is not an unprimeable number, because it can be changed into a prime (102121112000101) 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, 53705475 + ... + 55574456.

It is an arithmetic number, because the mean of its divisors is an integer number (8620001036160).

Almost surely, 2^{102121112000121} is an apocalyptic number.

It is an amenable number.

102121112000121 is a deficient number, since it is larger than the sum of its proper divisors (35798904578439).

102121112000121 is a wasteful number, since it uses less digits than its factorization.

102121112000121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109283956.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 102121112000121 its reverse (121000211121201), we get a palindrome (223121323121322).

The spelling of 102121112000121 in words is "one hundred two trillion, one hundred twenty-one billion, one hundred twelve million, one hundred twenty-one", and thus it is an aban number.