1022100012201 has 16 divisors (see below), whose sum is σ = 1377862763328. Its totient is φ = 673884024000.

The previous prime is 1022100012179. The next prime is 1022100012211.

1022100012201 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1022100012201 - 2⁵ = 1022100012169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1022100012211) 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, 1657455 + ... + 2188916.

It is an arithmetic number, because the mean of its divisors is an integer number (86116422708).

Almost surely, 2^{1022100012201} is an apocalyptic number.

It is an amenable number.

1022100012201 is a deficient number, since it is larger than the sum of its proper divisors (355762751127).

1022100012201 is a wasteful number, since it uses less digits than its factorization.

1022100012201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3847352.

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

It can be divided in two parts, 10221000 and 12201, that added together give a palindrome (10233201).

The spelling of 1022100012201 in words is "one trillion, twenty-two billion, one hundred million, twelve thousand, two hundred one".