1021113011100 has 288 divisors, whose sum is σ = 3677074652160. Its totient is φ = 213022402560.

The previous prime is 1021113011089. The next prime is 1021113011111. The reversal of 1021113011100 is 11103111201.

It is an interprime number because it is at equal distance from previous prime (1021113011089) and next prime (1021113011111).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2219569 + ... + 2639831.

It is an arithmetic number, because the mean of its divisors is an integer number (12767620320).

Almost surely, 2^{1021113011100} is an apocalyptic number.

1021113011100 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 1021113011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1838537326080).

1021113011100 is an abundant number, since it is smaller than the sum of its proper divisors (2655961641060).

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

1021113011100 is a wasteful number, since it uses less digits than its factorization.

1021113011100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420389 (or 420382 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 1021113011100 its reverse (11103111201), we get a palindrome (1032216122301).

The spelling of 1021113011100 in words is "one trillion, twenty-one billion, one hundred thirteen million, eleven thousand, one hundred".