201000031001100 has 216 divisors, whose sum is σ = 647382951033728. Its totient is φ = 52124611968000.

The previous prime is 201000031001059. The next prime is 201000031001117. The reversal of 201000031001100 is 1100130000102.

It is a super-2 number, since 2×201000031001100² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 63421392 + ... + 66515208.

Almost surely, 2^{201000031001100} is an apocalyptic number.

201000031001100 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 201000031001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323691475516864).

201000031001100 is an abundant number, since it is smaller than the sum of its proper divisors (446382920032628).

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

201000031001100 is a wasteful number, since it uses less digits than its factorization.

201000031001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3095825 (or 3095815 counting only the distinct ones).

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

Adding to 201000031001100 its reverse (1100130000102), we get a palindrome (202100161001202).

The spelling of 201000031001100 in words is "two hundred one trillion, thirty-one million, one thousand, one hundred".