102121111100001 has 128 divisors (see below), whose sum is σ = 169909440224256. Its totient is φ = 53241908428800.

The previous prime is 102121111099999. The next prime is 102121111100003. The reversal of 102121111100001 is 100001111121201.

It is an interprime number because it is at equal distance from previous prime (102121111099999) and next prime (102121111100003).

It is not a de Polignac number, because 102121111100001 - 2¹ = 102121111099999 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102121111100001.

It is not an unprimeable number, because it can be changed into a prime (102121111100003) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 360464461 + ... + 360747653.

It is an arithmetic number, because the mean of its divisors is an integer number (1327417501752).

Almost surely, 2^{102121111100001} is an apocalyptic number.

It is an amenable number.

102121111100001 is a deficient number, since it is larger than the sum of its proper divisors (67788329124255).

102121111100001 is a wasteful number, since it uses less digits than its factorization.

102121111100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283531.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 102121111100001 its reverse (100001111121201), we get a palindrome (202122222221202).

The spelling of 102121111100001 in words is "one hundred two trillion, one hundred twenty-one billion, one hundred eleven million, one hundred thousand, one".