100120031 has 8 divisors (see below), whose sum is σ = 109382400. Its totient is φ = 90884440.

The previous prime is 100120003. The next prime is 100120037. The reversal of 100120031 is 130021001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100120031 - 2¹⁸ = 99857887 is a prime.

It is a super-2 number, since 2×100120031² = 20048041214881922, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100120037) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1580 + ... + 14238.

It is an arithmetic number, because the mean of its divisors is an integer number (13672800).

Almost surely, 2^100120031 is an apocalyptic number.

100120031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100120031 is a deficient number, since it is larger than the sum of its proper divisors (9262369).

100120031 is a wasteful number, since it uses less digits than its factorization.

100120031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13389.

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 100120031 is about 10005.9997501499. Note that the first 3 decimals coincide. The cubic root of 100120031 is about 464.3445206234.

Adding to 100120031 its reverse (130021001), we get a palindrome (230141032).

The spelling of 100120031 in words is "one hundred million, one hundred twenty thousand, thirty-one".