101271920 has 20 divisors (see below), whose sum is σ = 235457400. Its totient is φ = 40508736.

The previous prime is 101271913. The next prime is 101271979. The reversal of 101271920 is 29172101.

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 632870 + ... + 633029.

It is an arithmetic number, because the mean of its divisors is an integer number (11772870).

Almost surely, 2^101271920 is an apocalyptic number.

101271920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101271920 is an abundant number, since it is smaller than the sum of its proper divisors (134185480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101271920 is a wasteful number, since it uses less digits than its factorization.

101271920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1265912 (or 1265906 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 23.

The square root of 101271920 is about 10063.3950533605. The cubic root of 101271920 is about 466.1185082990.

The spelling of 101271920 in words is "one hundred one million, two hundred seventy-one thousand, nine hundred twenty".