100010010101000 has 64 divisors (see below), whose sum is σ = 234025039151280. Its totient is φ = 40003727884800.

The previous prime is 100010010100943. The next prime is 100010010101017. The reversal of 100010010101000 is 101010010001.

It can be written as a sum of positive squares in 8 ways, for example, as 16029757823524 + 83980252277476 = 4003718^2 + 9164074^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 206571212 + ... + 207054788.

Almost surely, 2^{100010010101000} is an apocalyptic number.

100010010101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100010010101000 is an abundant number, since it is smaller than the sum of its proper divisors (134015029050280).

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

100010010101000 is a wasteful number, since it uses less digits than its factorization.

100010010101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690411 (or 690397 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 100010010101000 its reverse (101010010001), we get a palindrome (100111020111001).

Subtracting from 100010010101000 its reverse (101010010001), we obtain a palindrome (99909000090999).

The spelling of 100010010101000 in words is "one hundred trillion, ten billion, ten million, one hundred one thousand".