110122101202100 has 72 divisors (see below), whose sum is σ = 258303560248440. Its totient is φ = 40509313850880.

The previous prime is 110122101202021. The next prime is 110122101202103. The reversal of 110122101202100 is 1202101221011.

It can be written as a sum of positive squares in 12 ways, for example, as 102997248347536 + 7124852854564 = 10148756^2 + 2669242^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110122101202103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 157102547 + ... + 157801946.

It is an arithmetic number, because the mean of its divisors is an integer number (3587549447895).

Almost surely, 2^{110122101202100} is an apocalyptic number.

110122101202100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110122101202100 is an abundant number, since it is smaller than the sum of its proper divisors (148181459046340).

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

110122101202100 is a wasteful number, since it uses less digits than its factorization.

110122101202100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314904789 (or 314904782 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 110122101202100 its reverse (1202101221011), we get a palindrome (111324202423111).

The spelling of 110122101202100 in words is "one hundred ten trillion, one hundred twenty-two billion, one hundred one million, two hundred two thousand, one hundred".