100921100929 has 16 divisors (see below), whose sum is σ = 115905113280. Its totient is φ = 86906554560.

The previous prime is 100921100881. The next prime is 100921100953. The reversal of 100921100929 is 929001129001.

It is a cyclic number.

It is not a de Polignac number, because 100921100929 - 2²³ = 100912712321 is a prime.

It is a super-2 number, since 2×100921100929² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100921100894 and 100921100903.

It is not an unprimeable number, because it can be changed into a prime (100921100429) 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, 1887447 + ... + 1940179.

It is an arithmetic number, because the mean of its divisors is an integer number (7244069580).

Almost surely, 2^100921100929 is an apocalyptic number.

100921100929 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

100921100929 is a deficient number, since it is larger than the sum of its proper divisors (14984012351).

100921100929 is a wasteful number, since it uses less digits than its factorization.

100921100929 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61920.

The product of its (nonzero) digits is 2916, while the sum is 34.

The spelling of 100921100929 in words is "one hundred billion, nine hundred twenty-one million, one hundred thousand, nine hundred twenty-nine".