1001142204100 has 72 divisors (see below), whose sum is σ = 2195020134720. Its totient is φ = 396319969920.

The previous prime is 1001142204089. The next prime is 1001142204103. The reversal of 1001142204100 is 14022411001.

It is a happy number.

1001142204100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (1001142204103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4292697 + ... + 4519903.

It is an arithmetic number, because the mean of its divisors is an integer number (30486390760).

Almost surely, 2^{1001142204100} is an apocalyptic number.

1001142204100 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 1001142204100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1097510067360).

1001142204100 is an abundant number, since it is smaller than the sum of its proper divisors (1193877930620).

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

1001142204100 is a wasteful number, since it uses less digits than its factorization.

1001142204100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227677 (or 227670 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 1001142204100 its reverse (14022411001), we get a palindrome (1015164615101).

The spelling of 1001142204100 in words is "one trillion, one billion, one hundred forty-two million, two hundred four thousand, one hundred".