100212112101201 has 16 divisors (see below), whose sum is σ = 135333716654400. Its totient is φ = 65954575964160.

The previous prime is 100212112101193. The next prime is 100212112101209. The reversal of 100212112101201 is 102101211212001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100212112101193) and next prime (100212112101209).

It is not a de Polignac number, because 100212112101201 - 2³ = 100212112101193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100212112101209) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 660526876 + ... + 660678573.

It is an arithmetic number, because the mean of its divisors is an integer number (8458357290900).

Almost surely, 2^{100212112101201} is an apocalyptic number.

It is an amenable number.

100212112101201 is a deficient number, since it is larger than the sum of its proper divisors (35121604553199).

100212112101201 is a wasteful number, since it uses less digits than its factorization.

100212112101201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1321205776.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 100212112101201 its reverse (102101211212001), we get a palindrome (202313323313202).

The spelling of 100212112101201 in words is "one hundred trillion, two hundred twelve billion, one hundred twelve million, one hundred one thousand, two hundred one".