100201000200 has 192 divisors, whose sum is σ = 355316008320. Its totient is φ = 22882560000.

The previous prime is 100201000181. The next prime is 100201000219. The reversal of 100201000200 is 2000102001.

It is a happy number.

100201000200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (100201000181) and next prime (100201000219).

It is a super-3 number, since 3×100201000200³ (a number of 34 digits) contains 333 as substring.

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, 4950100 + ... + 4970300.

It is an arithmetic number, because the mean of its divisors is an integer number (1850604210).

Almost surely, 2^100201000200 is an apocalyptic number.

100201000200 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 100201000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177658004160).

100201000200 is an abundant number, since it is smaller than the sum of its proper divisors (255115008120).

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

100201000200 is a wasteful number, since it uses less digits than its factorization.

100201000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21408 (or 21399 counting only the distinct ones).

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

Adding to 100201000200 its reverse (2000102001), we get a palindrome (102201102201).

The spelling of 100201000200 in words is "one hundred billion, two hundred one million, two hundred", and thus it is an aban number.