2101112201201 has 16 divisors (see below), whose sum is σ = 2363937503760. Its totient is φ = 1854068563200.

The previous prime is 2101112201179. The next prime is 2101112201257. The reversal of 2101112201201 is 1021022111012.

It can be written as a sum of positive squares in 8 ways, for example, as 348942400 + 2100763258801 = 18680^2 + 1449401^2 .

It is a cyclic number.

It is not a de Polignac number, because 2101112201201 - 2¹⁸ = 2101111939057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2101112206201) 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, 27552230 + ... + 27628383.

It is an arithmetic number, because the mean of its divisors is an integer number (147746093985).

Almost surely, 2^{2101112201201} is an apocalyptic number.

It is an amenable number.

2101112201201 is a deficient number, since it is larger than the sum of its proper divisors (262825302559).

2101112201201 is a wasteful number, since it uses less digits than its factorization.

2101112201201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55180756.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 2101112201201 its reverse (1021022111012), we get a palindrome (3122134312213).

The spelling of 2101112201201 in words is "two trillion, one hundred one billion, one hundred twelve million, two hundred one thousand, two hundred one".