2120100100001 has 16 divisors (see below), whose sum is σ = 2310422329488. Its totient is φ = 1933806700800.

The previous prime is 2120100099989. The next prime is 2120100100003. The reversal of 2120100100001 is 1000010010212.

It can be written as a sum of positive squares in 8 ways, for example, as 713323822225 + 1406776277776 = 844585^2 + 1186076^2 .

It is not a de Polignac number, because 2120100100001 - 2³⁰ = 2119026358177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2120100100003) 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, 2500070 + ... + 3238911.

It is an arithmetic number, because the mean of its divisors is an integer number (144401395593).

Almost surely, 2^{2120100100001} is an apocalyptic number.

It is an amenable number.

2120100100001 is a deficient number, since it is larger than the sum of its proper divisors (190322229487).

2120100100001 is a wasteful number, since it uses less digits than its factorization.

2120100100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5739332.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 2120100100001 its reverse (1000010010212), we get a palindrome (3120110110213).

The spelling of 2120100100001 in words is "two trillion, one hundred twenty billion, one hundred million, one hundred thousand, one".