100012111101101 has 4 divisors (see below), whose sum is σ = 100113852822432. Its totient is φ = 99910369379772.

The previous prime is 100012111101059. The next prime is 100012111101131. The reversal of 100012111101101 is 101101111210001.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 100012111101101 - 2⁶ = 100012111101037 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100012111101131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 50870859191 + ... + 50870861156.

It is an arithmetic number, because the mean of its divisors is an integer number (25028463205608).

Almost surely, 2^{100012111101101} is an apocalyptic number.

It is an amenable number.

100012111101101 is a deficient number, since it is larger than the sum of its proper divisors (101741721331).

100012111101101 is an equidigital number, since it uses as much as digits as its factorization.

100012111101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101741721330.

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 100012111101101 its reverse (101101111210001), we get a palindrome (201113222311102).

The spelling of 100012111101101 in words is "one hundred trillion, twelve billion, one hundred eleven million, one hundred one thousand, one hundred one".