101000000100010 has 16 divisors (see below), whose sum is σ = 198327272923872. Its totient is φ = 36727272763600.

The previous prime is 101000000099963. The next prime is 101000000100049. The reversal of 101000000100010 is 10001000000101.

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, 459090909436 + ... + 459090909655.

It is an arithmetic number, because the mean of its divisors is an integer number (12395454557742).

Almost surely, 2^{101000000100010} is an apocalyptic number.

101000000100010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101000000100010 is a deficient number, since it is larger than the sum of its proper divisors (97327272823862).

101000000100010 is a wasteful number, since it uses less digits than its factorization.

101000000100010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918181819109.

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

Adding to 101000000100010 its reverse (10001000000101), we get a palindrome (111001000100111).

Subtracting from 101000000100010 its reverse (10001000000101), we obtain a palindrome (90999000099909).

The spelling of 101000000100010 in words is "one hundred one trillion, one hundred thousand, ten".