101289100 has 72 divisors (see below), whose sum is σ = 242078256. Its totient is φ = 36784000.

The previous prime is 101289047. The next prime is 101289101. The reversal of 101289100 is 1982101.

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 (101289101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132720 + ... + 133480.

It is an arithmetic number, because the mean of its divisors is an integer number (3362198).

Almost surely, 2^101289100 is an apocalyptic number.

101289100 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 101289100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121039128).

101289100 is an abundant number, since it is smaller than the sum of its proper divisors (140789156).

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

101289100 is a wasteful number, since it uses less digits than its factorization.

101289100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 22.

The square root of 101289100 is about 10064.2486058324. The cubic root of 101289100 is about 466.1448646117.

The spelling of 101289100 in words is "one hundred one million, two hundred eighty-nine thousand, one hundred".