200210002001100 has 1152 divisors, whose sum is σ = 828280320000000. Its totient is φ = 40323955921920.

The previous prime is 200210002001099. The next prime is 200210002001101. The reversal of 200210002001100 is 1100200012002.

It is an interprime number because it is at equal distance from previous prime (200210002001099) and next prime (200210002001101).

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

It is not an unprimeable number, because it can be changed into a prime (200210002001101) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2819863401 + ... + 2819934399.

Almost surely, 2^{200210002001100} is an apocalyptic number.

200210002001100 is a gapful number since it is divisible by the number (20) 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 200210002001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414140160000000).

200210002001100 is an abundant number, since it is smaller than the sum of its proper divisors (628070317998900).

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

200210002001100 is a wasteful number, since it uses less digits than its factorization.

200210002001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71564 (or 71551 counting only the distinct ones).

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

Adding to 200210002001100 its reverse (1100200012002), we get a palindrome (201310202013102).

The spelling of 200210002001100 in words is "two hundred trillion, two hundred ten billion, two million, one thousand, one hundred".