2100101013 has 14 divisors (see below), whose sum is σ = 3148712214. Its totient is φ = 1400066856.

The previous prime is 2100101009. The next prime is 2100101021. The reversal of 2100101013 is 3101010012.

It can be written as a sum of positive squares in only one way, i.e., 2084561649 + 15539364 = 45657^2 + 3942^2 .

It is not a de Polignac number, because 2100101013 - 2² = 2100101009 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 2100100986 and 2100101004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100101053) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1439670 + ... + 1441127.

Almost surely, 2^2100101013 is an apocalyptic number.

It is an amenable number.

2100101013 is a deficient number, since it is larger than the sum of its proper divisors (1048611201).

2100101013 is an frugal number, since it uses more digits than its factorization.

2100101013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2880815 (or 2880800 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 2100101013 is about 45826.8590784924. The cubic root of 2100101013 is about 1280.5996972207.

Adding to 2100101013 its reverse (3101010012), we get a palindrome (5201111025).

The spelling of 2100101013 in words is "two billion, one hundred million, one hundred one thousand, thirteen".