102111100021001 has 6 divisors (see below), whose sum is σ = 108470960922270. Its totient is φ = 96104564725376.

The previous prime is 102111100020931. The next prime is 102111100021003. The reversal of 102111100021001 is 100120001111201.

It can be written as a sum of positive squares in 3 ways, for example, as 42467066088976 + 59644033932025 = 6516676^2 + 7722955^2 .

It is not a de Polignac number, because 102111100021001 - 2¹⁰ = 102111100019977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102111100021003) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 176662802516 + ... + 176662803093.

It is an arithmetic number, because the mean of its divisors is an integer number (18078493487045).

Almost surely, 2^{102111100021001} is an apocalyptic number.

It is an amenable number.

102111100021001 is a deficient number, since it is larger than the sum of its proper divisors (6359860901269).

102111100021001 is an equidigital number, since it uses as much as digits as its factorization.

102111100021001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353325605643 (or 353325605626 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 102111100021001 its reverse (100120001111201), we get a palindrome (202231101132202).

The spelling of 102111100021001 in words is "one hundred two trillion, one hundred eleven billion, one hundred million, twenty-one thousand, one".