102112220100001 has 32 divisors (see below), whose sum is σ = 112197790752768. Its totient is φ = 92513392081920.

The previous prime is 102112220099969. The next prime is 102112220100043. The reversal of 102112220100001 is 100001022211201.

It is a cyclic number.

It is not a de Polignac number, because 102112220100001 - 2⁵ = 102112220099969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102112220100701) 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, 145022271 + ... + 145724683.

It is an arithmetic number, because the mean of its divisors is an integer number (3506180961024).

Almost surely, 2^{102112220100001} is an apocalyptic number.

It is an amenable number.

102112220100001 is a deficient number, since it is larger than the sum of its proper divisors (10085570652767).

102112220100001 is a wasteful number, since it uses less digits than its factorization.

102112220100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703921.

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

Adding to 102112220100001 its reverse (100001022211201), we get a palindrome (202113242311202).

The spelling of 102112220100001 in words is "one hundred two trillion, one hundred twelve billion, two hundred twenty million, one hundred thousand, one".