10100253261 has 16 divisors (see below), whose sum is σ = 15392989184. Its totient is φ = 5770775664.

The previous prime is 10100253259. The next prime is 10100253287. The reversal of 10100253261 is 16235200101.

It is not a de Polignac number, because 10100253261 - 2¹ = 10100253259 is a prime.

It is a super-2 number, since 2×10100253261² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100254261) 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, 144420 + ... + 202626.

It is an arithmetic number, because the mean of its divisors is an integer number (962061824).

Almost surely, 2^10100253261 is an apocalyptic number.

It is an amenable number.

10100253261 is a deficient number, since it is larger than the sum of its proper divisors (5292735923).

10100253261 is an equidigital number, since it uses as much as digits as its factorization.

10100253261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66480.

The product of its (nonzero) digits is 360, while the sum is 21.

Adding to 10100253261 its reverse (16235200101), we get a palindrome (26335453362).

The spelling of 10100253261 in words is "ten billion, one hundred million, two hundred fifty-three thousand, two hundred sixty-one".