10165521012600 has 48 divisors (see below), whose sum is σ = 31513115140920. Its totient is φ = 2710805603200.

The previous prime is 10165521012551. The next prime is 10165521012601. The reversal of 10165521012600 is 621012556101.

It is a super-2 number, since 2×10165521012600² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10165521012601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8471266911 + ... + 8471268110.

Almost surely, 2^{10165521012600} is an apocalyptic number.

10165521012600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10165521012600 is an abundant number, since it is smaller than the sum of its proper divisors (21347594128320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10165521012600 is a wasteful number, since it uses less digits than its factorization.

10165521012600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16942535040 (or 16942535031 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 30.

Adding to 10165521012600 its reverse (621012556101), we get a palindrome (10786533568701).

The spelling of 10165521012600 in words is "ten trillion, one hundred sixty-five billion, five hundred twenty-one million, twelve thousand, six hundred".