102112221212001 has 384 divisors, whose sum is σ = 209035946176512. Its totient is φ = 48093284736000.

The previous prime is 102112221211991. The next prime is 102112221212011. The reversal of 102112221212001 is 100212122211201.

102112221212001 is a `hidden beast` number, since 10 + 211 + 2 + 221 + 21 + 200 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (102112221211991) and next prime (102112221212011).

It is not a de Polignac number, because 102112221212001 - 2¹⁰ = 102112221210977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102112221212011) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 11232227466 + ... + 11232236556.

It is an arithmetic number, because the mean of its divisors is an integer number (544364443168).

Almost surely, 2^{102112221212001} is an apocalyptic number.

102112221212001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102112221212001 is an abundant number, since it is smaller than the sum of its proper divisors (106923724964511).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102112221212001 is a wasteful number, since it uses less digits than its factorization.

102112221212001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9955 (or 9943 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 102112221212001 its reverse (100212122211201), we get a palindrome (202324343423202).

The spelling of 102112221212001 in words is "one hundred two trillion, one hundred twelve billion, two hundred twenty-one million, two hundred twelve thousand, one".