101189129921 has 16 divisors (see below), whose sum is σ = 112340789568. Its totient is φ = 91130269120.

The previous prime is 101189129891. The next prime is 101189129933. The reversal of 101189129921 is 129921981101.

It is a happy number.

It is not a de Polignac number, because 101189129921 - 2¹⁰ = 101189128897 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101189129021) 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, 212840 + ... + 497673.

It is an arithmetic number, because the mean of its divisors is an integer number (7021299348).

Almost surely, 2^101189129921 is an apocalyptic number.

101189129921 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101189129921 is a deficient number, since it is larger than the sum of its proper divisors (11151659647).

101189129921 is an equidigital number, since it uses as much as digits as its factorization.

101189129921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710653 (or 710631 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 44.

The spelling of 101189129921 in words is "one hundred one billion, one hundred eighty-nine million, one hundred twenty-nine thousand, nine hundred twenty-one".