100110122112000 has 2816 divisors, whose sum is σ = 459259297136640. Its totient is φ = 18680315904000.

The previous prime is 100110122111957. The next prime is 100110122112043. The reversal of 100110122112000 is 211221011001.

It is an interprime number because it is at equal distance from previous prime (100110122111957) and next prime (100110122112043).

It is a tau number, because it is divible by the number of its divisors (2816).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 14222204481 + ... + 14222211519.

It is an arithmetic number, because the mean of its divisors is an integer number (163089239040).

Almost surely, 2^{100110122112000} is an apocalyptic number.

100110122112000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100110122112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229629648568320).

100110122112000 is an abundant number, since it is smaller than the sum of its proper divisors (359149175024640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100110122112000 is a wasteful number, since it uses less digits than its factorization.

100110122112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7145 (or 7117 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100110122112000 its reverse (211221011001), we get a palindrome (100321343123001).

The spelling of 100110122112000 in words is "one hundred trillion, one hundred ten billion, one hundred twenty-two million, one hundred twelve thousand".