101111111100010 has 16 divisors (see below), whose sum is σ = 198545454523872. Its totient is φ = 36767676763600.

The previous prime is 101111111099987. The next prime is 101111111100059. The reversal of 101111111100010 is 10001111111101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 101111111100010.

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, 459595959436 + ... + 459595959655.

It is an arithmetic number, because the mean of its divisors is an integer number (12409090907742).

Almost surely, 2^{101111111100010} is an apocalyptic number.

101111111100010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101111111100010 is a deficient number, since it is larger than the sum of its proper divisors (97434343423862).

101111111100010 is a wasteful number, since it uses less digits than its factorization.

101111111100010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919191919109.

The product of its (nonzero) digits is 1, while the sum is 10.

Adding to 101111111100010 its reverse (10001111111101), we get a palindrome (111112222211111).

It can be divided in two parts, 1011111 and 11100010, that added together give a palindrome (12111121).

The spelling of 101111111100010 in words is "one hundred one trillion, one hundred eleven billion, one hundred eleven million, one hundred thousand, ten".