102101012112001 has 32 divisors (see below), whose sum is σ = 126803398860800. Its totient is φ = 80226435536640.

The previous prime is 102101012111957. The next prime is 102101012112007. The reversal of 102101012112001 is 100211210101201.

It is a happy number.

It is not a de Polignac number, because 102101012112001 - 2¹¹ = 102101012109953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102101012112007) 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, 39392761 + ... + 41904553.

It is an arithmetic number, because the mean of its divisors is an integer number (3962606214400).

Almost surely, 2^{102101012112001} is an apocalyptic number.

It is an amenable number.

102101012112001 is a deficient number, since it is larger than the sum of its proper divisors (24702386748799).

102101012112001 is a wasteful number, since it uses less digits than its factorization.

102101012112001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2521709.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 102101012112001 its reverse (100211210101201), we get a palindrome (202312222213202).

The spelling of 102101012112001 in words is "one hundred two trillion, one hundred one billion, twelve million, one hundred twelve thousand, one".