101920161 has 32 divisors (see below), whose sum is σ = 164623360. Its totient is φ = 54789696.

The previous prime is 101920139. The next prime is 101920171. The reversal of 101920161 is 161029101.

It is not a de Polignac number, because 101920161 - 2⁶ = 101920097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101920171) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61830 + ... + 63456.

It is an arithmetic number, because the mean of its divisors is an integer number (5144480).

Almost surely, 2^101920161 is an apocalyptic number.

It is an amenable number.

101920161 is a deficient number, since it is larger than the sum of its proper divisors (62703199).

101920161 is a wasteful number, since it uses less digits than its factorization.

101920161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1813.

The product of its (nonzero) digits is 108, while the sum is 21.

The square root of 101920161 is about 10095.5515451113. The cubic root of 101920161 is about 467.1109344615.

Adding to 101920161 its reverse (161029101), we get a palindrome (262949262).

The spelling of 101920161 in words is "one hundred one million, nine hundred twenty thousand, one hundred sixty-one".