101120100 has 144 divisors (see below), whose sum is σ = 309355200. Its totient is φ = 25464320.

The previous prime is 101120099. The next prime is 101120113. The reversal of 101120100 is 1021101.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 513202 + ... + 513398.

It is an arithmetic number, because the mean of its divisors is an integer number (2148300).

Almost surely, 2^101120100 is an apocalyptic number.

101120100 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 101120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154677600).

101120100 is an abundant number, since it is smaller than the sum of its proper divisors (208235100).

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

101120100 is a wasteful number, since it uses less digits than its factorization.

101120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

The square root of 101120100 is about 10055.8490442130. The cubic root of 101120100 is about 465.8854673797.

Adding to 101120100 its reverse (1021101), we get a palindrome (102141201).

The spelling of 101120100 in words is "one hundred one million, one hundred twenty thousand, one hundred".