101982120 has 64 divisors (see below), whose sum is σ = 322056000. Its totient is φ = 25763328.

The previous prime is 101982113. The next prime is 101982131. The reversal of 101982120 is 21289101.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20085 + ... + 24644.

It is an arithmetic number, because the mean of its divisors is an integer number (5032125).

Almost surely, 2^101982120 is an apocalyptic number.

101982120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101982120 is an abundant number, since it is smaller than the sum of its proper divisors (220073880).

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

101982120 is a wasteful number, since it uses less digits than its factorization.

101982120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44762 (or 44758 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 24.

The square root of 101982120 is about 10098.6197076630. The cubic root of 101982120 is about 467.2055701821.

The spelling of 101982120 in words is "one hundred one million, nine hundred eighty-two thousand, one hundred twenty".