21101001000192 has 108 divisors (see below), whose sum is σ = 61226900940660. Its totient is φ = 6988866453504.

The previous prime is 21101001000181. The next prime is 21101001000193. The reversal of 21101001000192 is 29100010010112.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2154272449536 + 18946728550656 = 1467744^2 + 4352784^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21101001000193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28805217 + ... + 29528672.

Almost surely, 2^{21101001000192} is an apocalyptic number.

It is an amenable number.

21101001000192 is an abundant number, since it is smaller than the sum of its proper divisors (40125899940468).

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

21101001000192 is a wasteful number, since it uses less digits than its factorization.

21101001000192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58334068 (or 58334051 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

The spelling of 21101001000192 in words is "twenty-one trillion, one hundred one billion, one million, one hundred ninety-two", and thus it is an aban number.