100100010010 has 96 divisors (see below), whose sum is σ = 243753019776. Its totient is φ = 28799971200.

The previous prime is 100100009993. The next prime is 100100010047. The reversal of 100100010010 is 10010001001.

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 47 ways as a sum of consecutive naturals, for example, 344436 + ... + 564655.

It is an arithmetic number, because the mean of its divisors is an integer number (2539093956).

Almost surely, 2^100100010010 is an apocalyptic number.

100100010010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100100010010 is an abundant number, since it is smaller than the sum of its proper divisors (143653009766).

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

100100010010 is a wasteful number, since it uses less digits than its factorization.

100100010010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909140 (or 909129 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 100100010010 its reverse (10010001001), we get a palindrome (110110011011).

Subtracting from 100100010010 its reverse (10010001001), we obtain a palindrome (90090009009).

It can be divided in two parts, 1001000 and 10010, that multiplied together give a square (10020010000 = 100100²).

The spelling of 100100010010 in words is "one hundred billion, one hundred million, ten thousand, ten".