102212202012001 has 64 divisors (see below), whose sum is σ = 114442149888000. Its totient is φ = 90884227150080.

The previous prime is 102212202011923. The next prime is 102212202012007. The reversal of 102212202012001 is 100210202212201.

It is a happy number.

It is not a de Polignac number, because 102212202012001 - 2³⁹ = 101662446198113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102212202012007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3259613815 + ... + 3259645171.

It is an arithmetic number, because the mean of its divisors is an integer number (1788158592000).

Almost surely, 2^{102212202012001} is an apocalyptic number.

It is an amenable number.

102212202012001 is a deficient number, since it is larger than the sum of its proper divisors (12229947875999).

102212202012001 is a wasteful number, since it uses less digits than its factorization.

102212202012001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32302.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102212202012001 its reverse (100210202212201), we get a palindrome (202422404224202).

It can be divided in two parts, 10221220 and 2012001, that added together give a palindrome (12233221).

The spelling of 102212202012001 in words is "one hundred two trillion, two hundred twelve billion, two hundred two million, twelve thousand, one".