2501100121 has 9 divisors (see below), whose sum is σ = 2708996031. Its totient is φ = 2308107672.

The previous prime is 2501100103. The next prime is 2501100139. The reversal of 2501100121 is 1210011052.

The square root of 2501100121 is 50011.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (2501100103) and next prime (2501100139).

It can be written as a sum of positive squares in only one way, i.e., 369985225 + 2131114896 = 19235^2 + 46164^2 .

It is not a de Polignac number, because 2501100121 - 2²⁷ = 2366882393 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2501100221) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 648220 + ... + 652066.

It is an arithmetic number, because the mean of its divisors is an integer number (300999559).

Almost surely, 2^2501100121 is an apocalyptic number.

2501100121 is the 50011-st square number.

2501100121 is the 25006-th centered octagonal number.

It is an amenable number.

2501100121 is a deficient number, since it is larger than the sum of its proper divisors (207895910).

2501100121 is an frugal number, since it uses more digits than its factorization.

2501100121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7720 (or 3860 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 13.

The cubic root of 2501100121 is about 1357.4078582913.

Adding to 2501100121 its reverse (1210011052), we get a palindrome (3711111173).

The spelling of 2501100121 in words is "two billion, five hundred one million, one hundred thousand, one hundred twenty-one".