100110112212101 has 8 divisors (see below), whose sum is σ = 100163586965400. Its totient is φ = 100056640233472.

The previous prime is 100110112212083. The next prime is 100110112212109. The reversal of 100110112212101 is 101212211011001.

It can be written as a sum of positive squares in 4 ways, for example, as 5147231100001 + 94962881112100 = 2268751^2 + 9744890^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100110112212101 is a prime.

It is a super-2 number, since 2×100110112212101² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100110112212109) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73607621 + ... + 74955333.

It is an arithmetic number, because the mean of its divisors is an integer number (12520448370675).

Almost surely, 2^{100110112212101} is an apocalyptic number.

It is an amenable number.

100110112212101 is a deficient number, since it is larger than the sum of its proper divisors (53474753299).

100110112212101 is a wasteful number, since it uses less digits than its factorization.

100110112212101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1387335.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 100110112212101 its reverse (101212211011001), we get a palindrome (201322323223102).

The spelling of 100110112212101 in words is "one hundred trillion, one hundred ten billion, one hundred twelve million, two hundred twelve thousand, one hundred one".