100010100010010 has 16 divisors (see below), whose sum is σ = 180023525740800. Its totient is φ = 40002852065616.

The previous prime is 100010100009979. The next prime is 100010100010049. The reversal of 100010100010010 is 10010001010001.

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

It is a junction number, because it is equal to n+sod(n) for n = 100010100009976 and 100010100010003.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 148138670 + ... + 148812249.

It is an arithmetic number, because the mean of its divisors is an integer number (11251470358800).

Almost surely, 2^{100010100010010} is an apocalyptic number.

100010100010010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100010100010010 is a deficient number, since it is larger than the sum of its proper divisors (80013425730790).

100010100010010 is a wasteful number, since it uses less digits than its factorization.

100010100010010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296984605.

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

Adding to 100010100010010 its reverse (10010001010001), we get a palindrome (110020101020011).

Subtracting from 100010100010010 its reverse (10010001010001), we obtain a palindrome (90000099000009).

The spelling of 100010100010010 in words is "one hundred trillion, ten billion, one hundred million, ten thousand, ten".