100112101111001 has 16 divisors (see below), whose sum is σ = 114483075807744. Its totient is φ = 85758451294464.

The previous prime is 100112101110961. The next prime is 100112101111063. The reversal of 100112101111001 is 100111101211001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100112101111001 - 2¹⁴ = 100112101094617 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100112101111081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89807021 + ... + 90914933.

It is an arithmetic number, because the mean of its divisors is an integer number (7155192237984).

Almost surely, 2^{100112101111001} is an apocalyptic number.

It is an amenable number.

100112101111001 is a deficient number, since it is larger than the sum of its proper divisors (14370974696743).

100112101111001 is a wasteful number, since it uses less digits than its factorization.

100112101111001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1115720.

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

Adding to 100112101111001 its reverse (100111101211001), we get a palindrome (200223202322002).

The spelling of 100112101111001 in words is "one hundred trillion, one hundred twelve billion, one hundred one million, one hundred eleven thousand, one".