102221021211001 has 32 divisors (see below), whose sum is σ = 129026538436608. Its totient is φ = 78668882691840.

The previous prime is 102221021210989. The next prime is 102221021211047. The reversal of 102221021211001 is 100112120122201.

It is not a de Polignac number, because 102221021211001 - 2⁷ = 102221021210873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102221021212001) 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, 18294141 + ... + 23218906.

It is an arithmetic number, because the mean of its divisors is an integer number (4032079326144).

Almost surely, 2^{102221021211001} is an apocalyptic number.

102221021211001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102221021211001 is a deficient number, since it is larger than the sum of its proper divisors (26805517225607).

102221021211001 is a wasteful number, since it uses less digits than its factorization.

102221021211001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41513461.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 102221021211001 its reverse (100112120122201), we get a palindrome (202333141333202).

The spelling of 102221021211001 in words is "one hundred two trillion, two hundred twenty-one billion, twenty-one million, two hundred eleven thousand, one".