102112100212001 has 8 divisors (see below), whose sum is σ = 114111970082208. Its totient is φ = 90565055620000.

The previous prime is 102112100211943. The next prime is 102112100212021. The reversal of 102112100212001 is 100212001211201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102112100212001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102112100212021) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 113206319075 + ... + 113206319976.

It is an arithmetic number, because the mean of its divisors is an integer number (14263996260276).

Almost surely, 2^{102112100212001} is an apocalyptic number.

102112100212001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102112100212001 is a deficient number, since it is larger than the sum of its proper divisors (11999869870207).

102112100212001 is a wasteful number, since it uses less digits than its factorization.

102112100212001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226412639103.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 102112100212001 its reverse (100212001211201), we get a palindrome (202324101423202).

The spelling of 102112100212001 in words is "one hundred two trillion, one hundred twelve billion, one hundred million, two hundred twelve thousand, one".