101109921 has 16 divisors (see below), whose sum is σ = 152141760. Its totient is φ = 59165120.

The previous prime is 101109919. The next prime is 101109929. The reversal of 101109921 is 129901101.

It is a cyclic number.

It is not a de Polignac number, because 101109921 - 2¹ = 101109919 is a prime.

It is a super-2 number, since 2×101109921² = 20446432249252482, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101109891 and 101109900.

It is not an unprimeable number, because it can be changed into a prime (101109929) 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, 51870 + ... + 53783.

It is an arithmetic number, because the mean of its divisors is an integer number (9508860).

Almost surely, 2^101109921 is an apocalyptic number.

101109921 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101109921 is a deficient number, since it is larger than the sum of its proper divisors (51031839).

101109921 is a wasteful number, since it uses less digits than its factorization.

101109921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105696.

The product of its (nonzero) digits is 162, while the sum is 24.

The square root of 101109921 is about 10055.3429081260. The cubic root of 101109921 is about 465.8698344597.

The spelling of 101109921 in words is "one hundred one million, one hundred nine thousand, nine hundred twenty-one".