101022100200 has 288 divisors, whose sum is σ = 388700270400. Its totient is φ = 23033134080.

The previous prime is 101022100187. The next prime is 101022100253. The reversal of 101022100200 is 2001220101.

It is a Harshad number since it is a multiple of its sum of digits (9).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5143599 + ... + 5163201.

Almost surely, 2^101022100200 is an apocalyptic number.

101022100200 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 101022100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194350135200).

101022100200 is an abundant number, since it is smaller than the sum of its proper divisors (287678170200).

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

101022100200 is a wasteful number, since it uses less digits than its factorization.

101022100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20041 (or 20029 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 101022100200 its reverse (2001220101), we get a palindrome (103023320301).

The spelling of 101022100200 in words is "one hundred one billion, twenty-two million, one hundred thousand, two hundred".