201100003031000 has 128 divisors (see below), whose sum is σ = 498401908392960. Its totient is φ = 75685888512000.

The previous prime is 201100003030999. The next prime is 201100003031009. The reversal of 201100003031000 is 130300001102.

It is a super-2 number, since 2×201100003031000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201100003031009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55902764 + ... + 59391236.

It is an arithmetic number, because the mean of its divisors is an integer number (3893764909320).

Almost surely, 2^{201100003031000} is an apocalyptic number.

201100003031000 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 201100003031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249200954196480).

201100003031000 is an abundant number, since it is smaller than the sum of its proper divisors (297301905361960).

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

201100003031000 is a wasteful number, since it uses less digits than its factorization.

201100003031000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3491902 (or 3491888 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 201100003031000 its reverse (130300001102), we get a palindrome (201230303032102).

The spelling of 201100003031000 in words is "two hundred one trillion, one hundred billion, three million, thirty-one thousand".