100010010100010 has 8 divisors (see below), whose sum is σ = 180018018180036. Its totient is φ = 40004004040000.

The previous prime is 100010010099977. The next prime is 100010010100019. The reversal of 100010010100010 is 10001010010001.

It can be written as a sum of positive squares in 2 ways, for example, as 97351907023849 + 2658103076161 = 9866707^2 + 1630369^2 .

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 = 100010010099967 and 100010010100003.

It is not an unprimeable number, because it can be changed into a prime (100010010100019) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5000500504991 + ... + 5000500505010.

Almost surely, 2^{100010010100010} is an apocalyptic number.

100010010100010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100010010100010 is a deficient number, since it is larger than the sum of its proper divisors (80008008080026).

100010010100010 is a wasteful number, since it uses less digits than its factorization.

100010010100010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10001001010008.

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

Adding to 100010010100010 its reverse (10001010010001), we get a palindrome (110011020110011).

Subtracting from 100010010100010 its reverse (10001010010001), we obtain a palindrome (90009000090009).

The spelling of 100010010100010 in words is "one hundred trillion, ten billion, ten million, one hundred thousand, ten".