10500010510661 has 24 divisors (see below), whose sum is σ = 12346890139584. Its totient is φ = 8902626230400.

The previous prime is 10500010510657. The next prime is 10500010510699. The reversal of 10500010510661 is 16601501000501.

It is not a de Polignac number, because 10500010510661 - 2² = 10500010510657 is a prime.

It is a super-2 number, since 2×10500010510661² (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10500010510661.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10500010570661) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 900086 + ... + 4670136.

It is an arithmetic number, because the mean of its divisors is an integer number (514453755816).

Almost surely, 2^{10500010510661} is an apocalyptic number.

It is an amenable number.

10500010510661 is a deficient number, since it is larger than the sum of its proper divisors (1846879628923).

10500010510661 is a wasteful number, since it uses less digits than its factorization.

10500010510661 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3770681 (or 3770674 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 26.

The spelling of 10500010510661 in words is "ten trillion, five hundred billion, ten million, five hundred ten thousand, six hundred sixty-one".