1100029120900 has 72 divisors (see below), whose sum is σ = 2421158160960. Its totient is φ = 433729296000.

The previous prime is 1100029120877. The next prime is 1100029120991. The reversal of 1100029120900 is 90219200011.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46074166 + ... + 46098034.

It is an arithmetic number, because the mean of its divisors is an integer number (33627196680).

Almost surely, 2^{1100029120900} is an apocalyptic number.

1100029120900 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 1100029120900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1210579080480).

1100029120900 is an abundant number, since it is smaller than the sum of its proper divisors (1321129040060).

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

1100029120900 is a wasteful number, since it uses less digits than its factorization.

1100029120900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30445 (or 30438 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 25.

The spelling of 1100029120900 in words is "one trillion, one hundred billion, twenty-nine million, one hundred twenty thousand, nine hundred".