102210101012201 has 32 divisors (see below), whose sum is σ = 130273434762240. Its totient is φ = 78037170652224.

The previous prime is 102210101012183. The next prime is 102210101012203.

102210101012201 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 102210101012201 - 2³⁰ = 102209027270377 is a prime.

It is a super-3 number, since 3×102210101012201³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (102210101012203) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157028531 + ... + 157678088.

It is an arithmetic number, because the mean of its divisors is an integer number (4071044836320).

Almost surely, 2^{102210101012201} is an apocalyptic number.

It is an amenable number.

102210101012201 is a deficient number, since it is larger than the sum of its proper divisors (28063333750039).

102210101012201 is a wasteful number, since it uses less digits than its factorization.

102210101012201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314706765.

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

It can be divided in two parts, 10221010 and 1012201, that added together give a palindrome (11233211).

The spelling of 102210101012201 in words is "one hundred two trillion, two hundred ten billion, one hundred one million, twelve thousand, two hundred one".