101921103 has 24 divisors (see below), whose sum is σ = 156909168. Its totient is φ = 63528192.

The previous prime is 101921093. The next prime is 101921117. The reversal of 101921103 is 301129101.

It is not a de Polignac number, because 101921103 - 2¹⁰ = 101920079 is a prime.

It is a super-2 number, since 2×101921103² = 20775822473473218, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101921123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21900 + ... + 26142.

It is an arithmetic number, because the mean of its divisors is an integer number (6537882).

Almost surely, 2^101921103 is an apocalyptic number.

101921103 is a deficient number, since it is larger than the sum of its proper divisors (54988065).

101921103 is a wasteful number, since it uses less digits than its factorization.

101921103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4423 (or 4420 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

The square root of 101921103 is about 10095.5981992153. The cubic root of 101921103 is about 467.1123735524.

It can be divided in two parts, 1019 and 21103, that added together give a palindrome (22122).

The spelling of 101921103 in words is "one hundred one million, nine hundred twenty-one thousand, one hundred three".