101921120 has 192 divisors, whose sum is σ = 299811456. Its totient is φ = 31948800.

The previous prime is 101921117. The next prime is 101921123. The reversal of 101921120 is 21129101.

It is an interprime number because it is at equal distance from previous prime (101921117) and next prime (101921123).

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101921123) 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, 1009070 + ... + 1009170.

It is an arithmetic number, because the mean of its divisors is an integer number (1561518).

Almost surely, 2^101921120 is an apocalyptic number.

101921120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101921120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149905728).

101921120 is an abundant number, since it is smaller than the sum of its proper divisors (197890336).

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

101921120 is a wasteful number, since it uses less digits than its factorization.

101921120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 17.

The square root of 101921120 is about 10095.5990411664. The cubic root of 101921120 is about 467.1123995232.

The spelling of 101921120 in words is "one hundred one million, nine hundred twenty-one thousand, one hundred twenty".