101122131 has 8 divisors (see below), whose sum is σ = 147086784. Its totient is φ = 61286120.

The previous prime is 101122129. The next prime is 101122163. The reversal of 101122131 is 131221101.

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 101122131 - 2¹ = 101122129 is a prime.

It is a super-2 number, since 2×101122131² = 20451370755962322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101122121) 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, 1532121 + ... + 1532186.

It is an arithmetic number, because the mean of its divisors is an integer number (18385848).

Almost surely, 2^101122131 is an apocalyptic number.

101122131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101122131 is a deficient number, since it is larger than the sum of its proper divisors (45964653).

101122131 is a wasteful number, since it uses less digits than its factorization.

101122131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3064321.

The product of its (nonzero) digits is 12, while the sum is 12.

The square root of 101122131 is about 10055.9500297088. The cubic root of 101122131 is about 465.8885864663. Note that the first 3 decimals are identical.

Adding to 101122131 its reverse (131221101), we get a palindrome (232343232).

The spelling of 101122131 in words is "one hundred one million, one hundred twenty-two thousand, one hundred thirty-one".