102211221200001 has 16 divisors (see below), whose sum is σ = 137363272485120. Its totient is φ = 67600305103760.

The previous prime is 102211221199993. The next prime is 102211221200147. The reversal of 102211221200001 is 100002122112201.

It is a cyclic number.

It is not a de Polignac number, because 102211221200001 - 2³ = 102211221199993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102211221200801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37827291 + ... + 40439168.

It is an arithmetic number, because the mean of its divisors is an integer number (8585204530320).

Almost surely, 2^{102211221200001} is an apocalyptic number.

It is an amenable number.

102211221200001 is a deficient number, since it is larger than the sum of its proper divisors (35152051285119).

102211221200001 is a wasteful number, since it uses less digits than its factorization.

102211221200001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78269916.

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

Adding to 102211221200001 its reverse (100002122112201), we get a palindrome (202213343312202).

The spelling of 102211221200001 in words is "one hundred two trillion, two hundred eleven billion, two hundred twenty-one million, two hundred thousand, one".