100101000010010 has 8 divisors (see below), whose sum is σ = 180181800018036. Its totient is φ = 40040400004000.

The previous prime is 100101000010007. The next prime is 100101000010021. The reversal of 100101000010010 is 10010000101001.

It can be written as a sum of positive squares in 2 ways, for example, as 80716766031001 + 19384233979009 = 8984251^2 + 4402753^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

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 = 100101000009976 and 100101000010003.

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 3 ways as a sum of consecutive naturals, for example, 5005050000491 + ... + 5005050000510.

Almost surely, 2^{100101000010010} is an apocalyptic number.

100101000010010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100101000010010 is a deficient number, since it is larger than the sum of its proper divisors (80080800008026).

100101000010010 is a wasteful number, since it uses less digits than its factorization.

100101000010010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10010100001008.

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

Adding to 100101000010010 its reverse (10010000101001), we get a palindrome (110111000111011).

Subtracting from 100101000010010 its reverse (10010000101001), we obtain a palindrome (90090999909009).

The spelling of 100101000010010 in words is "one hundred trillion, one hundred one billion, ten thousand, ten".