101298120 has 256 divisors, whose sum is σ = 399513600. Its totient is φ = 19906560.

The previous prime is 101298089. The next prime is 101298149. The reversal of 101298120 is 21892101.

It is a super-2 number, since 2×101298120² = 20522618231068800, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 175272 + ... + 175848.

It is an arithmetic number, because the mean of its divisors is an integer number (1560600).

Almost surely, 2^101298120 is an apocalyptic number.

101298120 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 101298120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199756800).

101298120 is an abundant number, since it is smaller than the sum of its proper divisors (298215480).

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

101298120 is a wasteful number, since it uses less digits than its factorization.

101298120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 624 counting only the distinct ones).

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

The square root of 101298120 is about 10064.6967167421. The cubic root of 101298120 is about 466.1587012499.

The spelling of 101298120 in words is "one hundred one million, two hundred ninety-eight thousand, one hundred twenty".