1001100910212 has 72 divisors (see below), whose sum is σ = 2885526175896. Its totient is φ = 289911573504.

The previous prime is 1001100910177. The next prime is 1001100910223. The reversal of 1001100910212 is 2120190011001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 106305994116 + 894794916096 = 326046^2 + 945936^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 62906883 + ... + 62922794.

It is an arithmetic number, because the mean of its divisors is an integer number (40076752443).

Almost surely, 2^{1001100910212} is an apocalyptic number.

1001100910212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1001100910212 is an abundant number, since it is smaller than the sum of its proper divisors (1884425265684).

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

1001100910212 is a wasteful number, since it uses less digits than its factorization.

1001100910212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125829717 (or 125829712 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 1001100910212 its reverse (2120190011001), we get a palindrome (3121290921213).

The spelling of 1001100910212 in words is "one trillion, one billion, one hundred million, nine hundred ten thousand, two hundred twelve".