100111101201 has 10 divisors (see below), whose sum is σ = 149548682162. Its totient is φ = 66740734080.

The previous prime is 100111101197. The next prime is 100111101221. The reversal of 100111101201 is 102101111001.

It can be written as a sum of positive squares in only one way, i.e., 88937554176 + 11173547025 = 298224^2 + 105705^2 .

It is not a de Polignac number, because 100111101201 - 2² = 100111101197 is a prime.

It is a super-3 number, since 3×100111101201³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100111101221) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 617969680 + ... + 617969841.

Almost surely, 2^100111101201 is an apocalyptic number.

It is an amenable number.

100111101201 is a deficient number, since it is larger than the sum of its proper divisors (49437580961).

100111101201 is an equidigital number, since it uses as much as digits as its factorization.

100111101201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1235939533 (or 1235939524 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 100111101201 its reverse (102101111001), we get a palindrome (202212212202).

The spelling of 100111101201 in words is "one hundred billion, one hundred eleven million, one hundred one thousand, two hundred one".