101388100 has 72 divisors (see below), whose sum is σ = 244109376. Its totient is φ = 36240000.

The previous prime is 101388097. The next prime is 101388101. The reversal of 101388100 is 1883101.

It is a super-2 number, since 2×101388100² = 20559093643220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (101388101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66345 + ... + 67855.

It is an arithmetic number, because the mean of its divisors is an integer number (3390408).

Almost surely, 2^101388100 is an apocalyptic number.

101388100 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 101388100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122054688).

101388100 is an abundant number, since it is smaller than the sum of its proper divisors (142721276).

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

101388100 is a wasteful number, since it uses less digits than its factorization.

101388100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1597 (or 1590 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 22.

The square root of 101388100 is about 10069.1658045739. The cubic root of 101388100 is about 466.2966852078.

The spelling of 101388100 in words is "one hundred one million, three hundred eighty-eight thousand, one hundred".