102210000012201 has 16 divisors (see below), whose sum is σ = 136312106638400. Its totient is φ = 68123948598720.

The previous prime is 102210000012199. The next prime is 102210000012203.

102210000012201 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (102210000012199) and next prime (102210000012203).

It is not a de Polignac number, because 102210000012201 - 2¹ = 102210000012199 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (102210000012203) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 222911091 + ... + 223369143.

It is an arithmetic number, because the mean of its divisors is an integer number (8519506664900).

Almost surely, 2^{102210000012201} is an apocalyptic number.

It is an amenable number.

102210000012201 is a deficient number, since it is larger than the sum of its proper divisors (34102106626199).

102210000012201 is an equidigital number, since it uses as much as digits as its factorization.

102210000012201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475416.

The product of its (nonzero) digits is 16, while the sum is 12.

It can be divided in two parts, 1022100000 and 12201, that added together give a palindrome (1022112201).

The spelling of 102210000012201 in words is "one hundred two trillion, two hundred ten billion, twelve thousand, two hundred one".