1001120122100 has 108 divisors (see below), whose sum is σ = 2527502190444. Its totient is φ = 343188357120.

The previous prime is 1001120121983. The next prime is 1001120122153. The reversal of 1001120122100 is 12210211001.

1001120122100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 537470799376 + 463649322724 = 733124^2 + 680918^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 44936564 + ... + 44958836.

Almost surely, 2^{1001120122100} is an apocalyptic number.

1001120122100 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 1001120122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1263751095222).

1001120122100 is an abundant number, since it is smaller than the sum of its proper divisors (1526382068344).

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

1001120122100 is a wasteful number, since it uses less digits than its factorization.

1001120122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31474 (or 31460 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1001120122100 its reverse (12210211001), we get a palindrome (1013330333101).

The spelling of 1001120122100 in words is "one trillion, one billion, one hundred twenty million, one hundred twenty-two thousand, one hundred".