1000100010112 has 48 divisors (see below), whose sum is σ = 2317674384270. Its totient is φ = 428614287360.

The previous prime is 1000100010101. The next prime is 1000100010139. The reversal of 1000100010112 is 2110100010001.

It can be written as a sum of positive squares in only one way, i.e., 877639206976 + 122460803136 = 936824^2 + 349944^2 .

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a junction number, because it is equal to n+sod(n) for n = 1000100010095 and 1000100010104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 79721089 + ... + 79733632.

Almost surely, 2^{1000100010112} is an apocalyptic number.

It is an amenable number.

1000100010112 is an abundant number, since it is smaller than the sum of its proper divisors (1317574374158).

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

1000100010112 is an equidigital number, since it uses as much as digits as its factorization.

1000100010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159454749 (or 159454730 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 1000100010112 its reverse (2110100010001), we get a palindrome (3110200020113).

The spelling of 1000100010112 in words is "one trillion, one hundred million, ten thousand, one hundred twelve".