101020200 has 96 divisors (see below), whose sum is σ = 316452960. Its totient is φ = 26656000.

The previous prime is 101020189. The next prime is 101020217. The reversal of 101020200 is 2020101.

It is a happy number.

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 23 ways as a sum of consecutive naturals, for example, 59767 + ... + 61433.

It is an arithmetic number, because the mean of its divisors is an integer number (3296385).

Almost surely, 2^101020200 is an apocalyptic number.

101020200 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 101020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158226480).

101020200 is an abundant number, since it is smaller than the sum of its proper divisors (215432760).

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

101020200 is a wasteful number, since it uses less digits than its factorization.

101020200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1787 (or 1778 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 101020200 is about 10050.8805584386. The cubic root of 101020200 is about 465.7319954409.

Adding to 101020200 its reverse (2020101), we get a palindrome (103040301).

Subtracting from 101020200 its reverse (2020101), we obtain a palindrome (99000099).

The spelling of 101020200 in words is "one hundred one million, twenty thousand, two hundred".