102211012012001 has 8 divisors (see below), whose sum is σ = 102371059012104. Its totient is φ = 102050966855680.

The previous prime is 102211012011989. The next prime is 102211012012027. The reversal of 102211012012001 is 100210210112201.

It can be written as a sum of positive squares in 4 ways, for example, as 47161512395776 + 55049499616225 = 6867424^2 + 7419535^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 102211012012001 - 2⁶ = 102211012011937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102211012012051) 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, 147736781 + ... + 148427013.

It is an arithmetic number, because the mean of its divisors is an integer number (12796382376513).

Almost surely, 2^{102211012012001} is an apocalyptic number.

It is an amenable number.

102211012012001 is a deficient number, since it is larger than the sum of its proper divisors (160047000103).

102211012012001 is an equidigital number, since it uses as much as digits as its factorization.

102211012012001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921891.

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

Adding to 102211012012001 its reverse (100210210112201), we get a palindrome (202421222124202).

The spelling of 102211012012001 in words is "one hundred two trillion, two hundred eleven billion, twelve million, twelve thousand, one".