100112000021201 has 6 divisors (see below), whose sum is σ = 116456816351250. Its totient is φ = 85810285732416.

The previous prime is 100112000021191. The next prime is 100112000021207. The reversal of 100112000021201 is 102120000211001.

It can be written as a sum of positive squares in only one way, i.e., 59232664268176 + 40879335753025 = 7696276^2 + 6393695^2 .

It is not a de Polignac number, because 100112000021201 - 2¹⁰ = 100112000020177 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100112000021207) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1021551020576 + ... + 1021551020673.

It is an arithmetic number, because the mean of its divisors is an integer number (19409469391875).

Almost surely, 2^{100112000021201} is an apocalyptic number.

It is an amenable number.

100112000021201 is a deficient number, since it is larger than the sum of its proper divisors (16344816330049).

100112000021201 is an equidigital number, since it uses as much as digits as its factorization.

100112000021201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2043102041263 (or 2043102041256 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100112000021201 its reverse (102120000211001), we get a palindrome (202232000232202).

The spelling of 100112000021201 in words is "one hundred trillion, one hundred twelve billion, twenty-one thousand, two hundred one".