2120100010101 has 12 divisors (see below), whose sum is σ = 3145133348812. Its totient is φ = 1375200006336.

The previous prime is 2120100010097. The next prime is 2120100010103. The reversal of 2120100010101 is 1010100010212.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1492636410225 + 627463599876 = 1221735^2 + 792126^2 .

It is not a de Polignac number, because 2120100010101 - 2² = 2120100010097 is a prime.

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

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120100010103) 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, 3183333016 + ... + 3183333681.

Almost surely, 2^{2120100010101} is an apocalyptic number.

It is an amenable number.

2120100010101 is a deficient number, since it is larger than the sum of its proper divisors (1025033338711).

2120100010101 is a wasteful number, since it uses less digits than its factorization.

2120100010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6366666740 (or 6366666737 counting only the distinct ones).

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

Adding to 2120100010101 its reverse (1010100010212), we get a palindrome (3130200020313).

The spelling of 2120100010101 in words is "two trillion, one hundred twenty billion, one hundred million, ten thousand, one hundred one".