1001020131100 has 144 divisors (see below), whose sum is σ = 2440368806400. Its totient is φ = 353306304000.

The previous prime is 1001020131019. The next prime is 1001020131127. The reversal of 1001020131100 is 11310201001.

It is a super-2 number, since 2×1001020131100² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

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, 5029480 + ... + 5224720.

It is an arithmetic number, because the mean of its divisors is an integer number (16947005600).

Almost surely, 2^{1001020131100} is an apocalyptic number.

1001020131100 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 1001020131100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1220184403200).

1001020131100 is an abundant number, since it is smaller than the sum of its proper divisors (1439348675300).

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

1001020131100 is a wasteful number, since it uses less digits than its factorization.

1001020131100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195404 (or 195397 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 1001020131100 its reverse (11310201001), we get a palindrome (1012330332101).

The spelling of 1001020131100 in words is "one trillion, one billion, twenty million, one hundred thirty-one thousand, one hundred".