102122112001 has 16 divisors (see below), whose sum is σ = 125710437888. Its totient is φ = 80785972800.

The previous prime is 102122111977. The next prime is 102122112007. The reversal of 102122112001 is 100211221201.

It is not a de Polignac number, because 102122112001 - 2⁷ = 102122111873 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (102122112007) 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, 450456 + ... + 638086.

It is an arithmetic number, because the mean of its divisors is an integer number (7856902368).

Almost surely, 2^102122112001 is an apocalyptic number.

It is an amenable number.

102122112001 is a deficient number, since it is larger than the sum of its proper divisors (23588325887).

102122112001 is a wasteful number, since it uses less digits than its factorization.

102122112001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193632.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 102122112001 its reverse (100211221201), we get a palindrome (202333333202).

The spelling of 102122112001 in words is "one hundred two billion, one hundred twenty-two million, one hundred twelve thousand, one".