200001001031100 has 432 divisors, whose sum is σ = 652188927237120. Its totient is φ = 51219254361600.

The previous prime is 200001001031047. The next prime is 200001001031233. The reversal of 200001001031100 is 1130100100002.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10004542105 + ... + 10004562095.

Almost surely, 2^{200001001031100} is an apocalyptic number.

200001001031100 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 200001001031100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326094463618560).

200001001031100 is an abundant number, since it is smaller than the sum of its proper divisors (452187926206020).

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

200001001031100 is a wasteful number, since it uses less digits than its factorization.

200001001031100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23930 (or 23920 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 200001001031100 its reverse (1130100100002), we get a palindrome (201131101131102).

The spelling of 200001001031100 in words is "two hundred trillion, one billion, one million, thirty-one thousand, one hundred".