100100311022201 has 6 divisors (see below), whose sum is σ = 116443218944250. Its totient is φ = 85800266590416.

The previous prime is 100100311022143. The next prime is 100100311022213. The reversal of 100100311022201 is 102220113001001.

It can be written as a sum of positive squares in only one way, i.e., 92064792601600 + 8035518420601 = 9595040^2 + 2834699^2 .

It is a de Polignac number, because none of the positive numbers 2^k-100100311022201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100100311022221) 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, 1021431745076 + ... + 1021431745173.

It is an arithmetic number, because the mean of its divisors is an integer number (19407203157375).

Almost surely, 2^{100100311022201} is an apocalyptic number.

It is an amenable number.

100100311022201 is a deficient number, since it is larger than the sum of its proper divisors (16342907922049).

100100311022201 is an equidigital number, since it uses as much as digits as its factorization.

100100311022201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2042863490263 (or 2042863490256 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 100100311022201 its reverse (102220113001001), we get a palindrome (202320424023202).

The spelling of 100100311022201 in words is "one hundred trillion, one hundred billion, three hundred eleven million, twenty-two thousand, two hundred one".