2120200100001 has 12 divisors (see below), whose sum is σ = 3137206652580. Its totient is φ = 1378991934720.

The previous prime is 2120200099957. The next prime is 2120200100027. The reversal of 2120200100001 is 1000010020212.

It can be written as a sum of positive squares in 2 ways, for example, as 394258410000 + 1725941690001 = 627900^2 + 1313751^2 .

It is not a de Polignac number, because 2120200100001 - 2⁹ = 2120200099489 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 (2120200100401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2872899496 + ... + 2872900233.

It is an arithmetic number, because the mean of its divisors is an integer number (261433887715).

Almost surely, 2^{2120200100001} is an apocalyptic number.

It is an amenable number.

2120200100001 is a deficient number, since it is larger than the sum of its proper divisors (1017006552579).

2120200100001 is a wasteful number, since it uses less digits than its factorization.

2120200100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5745799776 (or 5745799773 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 2120200100001 its reverse (1000010020212), we get a palindrome (3120210120213).

The spelling of 2120200100001 in words is "two trillion, one hundred twenty billion, two hundred million, one hundred thousand, one".