102112212002001 has 16 divisors (see below), whose sum is σ = 136847293824384. Its totient is φ = 67726002237824.

The previous prime is 102112212001997. The next prime is 102112212002023. The reversal of 102112212002001 is 100200212211201.

It is a cyclic number.

It is not a de Polignac number, because 102112212002001 - 2² = 102112212001997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102112212002041) 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, 8220805 + ... + 16486541.

It is an arithmetic number, because the mean of its divisors is an integer number (8552955864024).

Almost surely, 2^{102112212002001} is an apocalyptic number.

It is an amenable number.

102112212002001 is a deficient number, since it is larger than the sum of its proper divisors (34735081822383).

102112212002001 is a wasteful number, since it uses less digits than its factorization.

102112212002001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8286840.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 102112212002001 its reverse (100200212211201), we get a palindrome (202312424213202).

The spelling of 102112212002001 in words is "one hundred two trillion, one hundred twelve billion, two hundred twelve million, two thousand, one".