10010002261 has 16 divisors (see below), whose sum is σ = 11635176960. Its totient is φ = 8434848240.

The previous prime is 10010002253. The next prime is 10010002267. The reversal of 10010002261 is 16220001001.

It is not a de Polignac number, because 10010002261 - 2³ = 10010002253 is a prime.

It is a super-2 number, since 2×10010002261² (a number of 21 digits) 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 (10010002267) 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, 47110 + ... + 149128.

It is an arithmetic number, because the mean of its divisors is an integer number (727198560).

Almost surely, 2^10010002261 is an apocalyptic number.

It is an amenable number.

10010002261 is a deficient number, since it is larger than the sum of its proper divisors (1625174699).

10010002261 is a wasteful number, since it uses less digits than its factorization.

10010002261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102264.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 10010002261 its reverse (16220001001), we get a palindrome (26230003262).

The spelling of 10010002261 in words is "ten billion, ten million, two thousand, two hundred sixty-one".