2101120100001 has 20 divisors (see below), whose sum is σ = 3380149526292. Its totient is φ = 1292996983968.

The previous prime is 2101120099997. The next prime is 2101120100011. The reversal of 2101120100001 is 1000010211012.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 514971288225 + 1586148811776 = 717615^2 + 1259424^2 .

It is not a de Polignac number, because 2101120100001 - 2² = 2101120099997 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (2101120100011) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 997681806 + ... + 997683911.

Almost surely, 2^{2101120100001} is an apocalyptic number.

It is an amenable number.

2101120100001 is a deficient number, since it is larger than the sum of its proper divisors (1279029426291).

2101120100001 is a wasteful number, since it uses less digits than its factorization.

2101120100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1995365742 (or 1995365733 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 2101120100001 its reverse (1000010211012), we get a palindrome (3101130311013).

The spelling of 2101120100001 in words is "two trillion, one hundred one billion, one hundred twenty million, one hundred thousand, one".