1021112033100 has 72 divisors (see below), whose sum is σ = 2973235565328. Its totient is φ = 270562156800.

The previous prime is 1021112033089. The next prime is 1021112033101. The reversal of 1021112033100 is 13302111201.

It is a happy number.

It is a super-2 number, since 2×1021112033100² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1021112033100.

It is not an unprimeable number, because it can be changed into a prime (1021112033101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10792731 + ... + 10886930.

Almost surely, 2^{1021112033100} is an apocalyptic number.

1021112033100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1021112033100 is an abundant number, since it is smaller than the sum of its proper divisors (1952123532228).

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

1021112033100 is a wasteful number, since it uses less digits than its factorization.

1021112033100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21679835 (or 21679828 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 1021112033100 its reverse (13302111201), we get a palindrome (1034414144301).

It can be divided in two parts, 102111 and 2033100, that added together give a triangular number (2135211 = T₂₀₆₆).

The spelling of 1021112033100 in words is "one trillion, twenty-one billion, one hundred twelve million, thirty-three thousand, one hundred".