1100201321010 has 128 divisors (see below), whose sum is σ = 2890328168448. Its totient is φ = 265809600000.

The previous prime is 1100201320961. The next prime is 1100201321033. The reversal of 1100201321010 is 101231020011.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 122226510 + ... + 122235510.

It is an arithmetic number, because the mean of its divisors is an integer number (22580688816).

Almost surely, 2^{1100201321010} is an apocalyptic number.

1100201321010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1100201321010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1445164084224).

1100201321010 is an abundant number, since it is smaller than the sum of its proper divisors (1790126847438).

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

1100201321010 is a wasteful number, since it uses less digits than its factorization.

1100201321010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10240.

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

Adding to 1100201321010 its reverse (101231020011), we get a palindrome (1201432341021).

The spelling of 1100201321010 in words is "one trillion, one hundred billion, two hundred one million, three hundred twenty-one thousand, ten".