100111210010201 has 6 divisors (see below), whose sum is σ = 108404446342590. Its totient is φ = 92410347701568.

The previous prime is 100111210010183. The next prime is 100111210010297. The reversal of 100111210010201 is 102010012111001.

It can be written as a sum of positive squares in 3 ways, for example, as 1870384464400 + 98240825545801 = 1367620^2 + 9911651^2 .

It is not a de Polignac number, because 100111210010201 - 2⁶ = 100111210010137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100111210010501) 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, 296187011696 + ... + 296187012033.

It is an arithmetic number, because the mean of its divisors is an integer number (18067407723765).

Almost surely, 2^{100111210010201} is an apocalyptic number.

It is an amenable number.

100111210010201 is a deficient number, since it is larger than the sum of its proper divisors (8293236332389).

100111210010201 is an equidigital number, since it uses as much as digits as its factorization.

100111210010201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592374023755 (or 592374023742 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 100111210010201 its reverse (102010012111001), we get a palindrome (202121222121202).

The spelling of 100111210010201 in words is "one hundred trillion, one hundred eleven billion, two hundred ten million, ten thousand, two hundred one".