102111200111121 has 32 divisors (see below), whose sum is σ = 147351160750080. Its totient is φ = 62686154793600.

The previous prime is 102111200111113. The next prime is 102111200111131. The reversal of 102111200111121 is 121111002111201.

It is not a de Polignac number, because 102111200111121 - 2³ = 102111200111113 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102111200111121.

It is not an unprimeable number, because it can be changed into a prime (102111200111111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79981585 + ... + 81248238.

It is an arithmetic number, because the mean of its divisors is an integer number (4604723773440).

Almost surely, 2^{102111200111121} is an apocalyptic number.

It is an amenable number.

102111200111121 is a deficient number, since it is larger than the sum of its proper divisors (45239960638959).

102111200111121 is a wasteful number, since it uses less digits than its factorization.

102111200111121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161230157.

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 102111200111121 its reverse (121111002111201), we get a palindrome (223222202222322).

The spelling of 102111200111121 in words is "one hundred two trillion, one hundred eleven billion, two hundred million, one hundred eleven thousand, one hundred twenty-one".