100012321201 has 12 divisors (see below), whose sum is σ = 113672649972. Its totient is φ = 87460163424.

The previous prime is 100012321177. The next prime is 100012321231. The reversal of 100012321201 is 102123210001.

It can be written as a sum of positive squares in 2 ways, for example, as 49925433600 + 50086887601 = 223440^2 + 223801^2 .

It is not a de Polignac number, because 100012321201 - 2¹⁵ = 100012288433 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100012321231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10650786 + ... + 10660171.

It is an arithmetic number, because the mean of its divisors is an integer number (9472720831).

Almost surely, 2^100012321201 is an apocalyptic number.

It is an amenable number.

100012321201 is a deficient number, since it is larger than the sum of its proper divisors (13660328771).

100012321201 is a wasteful number, since it uses less digits than its factorization.

100012321201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21311008 (or 21310989 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 100012321201 its reverse (102123210001), we get a palindrome (202135531202).

The spelling of 100012321201 in words is "one hundred billion, twelve million, three hundred twenty-one thousand, two hundred one".