102111111112001 has 16 divisors (see below), whose sum is σ = 103388440780800. Its totient is φ = 100834912311888.

The previous prime is 102111111111973. The next prime is 102111111112063. The reversal of 102111111112001 is 100211111111201.

It is a cyclic number.

It is not a de Polignac number, because 102111111112001 - 2⁴² = 97713064600897 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102111111112501) 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, 2020416590 + ... + 2020467128.

It is an arithmetic number, because the mean of its divisors is an integer number (6461777548800).

Almost surely, 2^{102111111112001} is an apocalyptic number.

It is an amenable number.

102111111112001 is a deficient number, since it is larger than the sum of its proper divisors (1277329668799).

102111111112001 is an equidigital number, since it uses as much as digits as its factorization.

102111111112001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61228.

The product of its (nonzero) digits is 4, while the sum is 14.

Adding to 102111111112001 its reverse (100211111111201), we get a palindrome (202322222223202).

It can be divided in two parts, 10211111111200 and 1, that added together give a palindrome (10211111111201).

The spelling of 102111111112001 in words is "one hundred two trillion, one hundred eleven billion, one hundred eleven million, one hundred twelve thousand, one".