2556102101 has 6 divisors (see below), whose sum is σ = 2973424950. Its totient is φ = 2190944616.

The previous prime is 2556102083. The next prime is 2556102119. The reversal of 2556102101 is 1012016552.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2556102083) and next prime (2556102119).

It can be written as a sum of positive squares in only one way, i.e., 2362057201 + 194044900 = 48601^2 + 13930^2 .

It is not a de Polignac number, because 2556102101 - 2⁶ = 2556102037 is a prime.

It is a super-2 number, since 2×2556102101² = 13067315901473228402, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2556102151) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 26082626 + ... + 26082723.

It is an arithmetic number, because the mean of its divisors is an integer number (495570825).

Almost surely, 2^2556102101 is an apocalyptic number.

It is an amenable number.

2556102101 is a deficient number, since it is larger than the sum of its proper divisors (417322849).

2556102101 is an equidigital number, since it uses as much as digits as its factorization.

2556102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52165363 (or 52165356 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 23.

The square root of 2556102101 is about 50557.9083922585. The cubic root of 2556102101 is about 1367.2861011639.

Adding to 2556102101 its reverse (1012016552), we get a palindrome (3568118653).

The spelling of 2556102101 in words is "two billion, five hundred fifty-six million, one hundred two thousand, one hundred one".