110122101201000 has 128 divisors (see below), whose sum is σ = 392663949500160. Its totient is φ = 25170765984000.

The previous prime is 110122101200939. The next prime is 110122101201017. The reversal of 110122101201000 is 102101221011.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2621933791 + ... + 2621975790.

It is an arithmetic number, because the mean of its divisors is an integer number (3067687105470).

Almost surely, 2^{110122101201000} is an apocalyptic number.

110122101201000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110122101201000 is an abundant number, since it is smaller than the sum of its proper divisors (282541848299160).

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

110122101201000 is a wasteful number, since it uses less digits than its factorization.

110122101201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5243909612 (or 5243909598 counting only the distinct ones).

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

Adding to 110122101201000 its reverse (102101221011), we get a palindrome (110224202422011).

The spelling of 110122101201000 in words is "one hundred ten trillion, one hundred twenty-two billion, one hundred one million, two hundred one thousand".