100165740021 has 16 divisors (see below), whose sum is σ = 148398909120. Its totient is φ = 66774810960.

The previous prime is 100165739981. The next prime is 100165740029. The reversal of 100165740021 is 120047561001.

It is a happy number.

100165740021 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 657 + 4 + 0 + 0 + 2 + 1 = 666.

It is not a de Polignac number, because 100165740021 - 2¹⁵ = 100165707253 is a prime.

It is a super-2 number, since 2×100165740021² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100165740029) 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 15 ways as a sum of consecutive naturals, for example, 1085431 + ... + 1174091.

It is an arithmetic number, because the mean of its divisors is an integer number (9274931820).

Almost surely, 2^100165740021 is an apocalyptic number.

It is an amenable number.

100165740021 is a deficient number, since it is larger than the sum of its proper divisors (48233169099).

100165740021 is an equidigital number, since it uses as much as digits as its factorization.

100165740021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130513 (or 130507 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The spelling of 100165740021 in words is "one hundred billion, one hundred sixty-five million, seven hundred forty thousand, twenty-one".