110022121012100 has 144 divisors (see below), whose sum is σ = 280976362361856. Its totient is φ = 36944164608000.

The previous prime is 110022121012093. The next prime is 110022121012121. The reversal of 110022121012100 is 1210121220011.

It is a super-2 number, since 2×110022121012100² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54513956 + ... + 56496155.

It is an arithmetic number, because the mean of its divisors is an integer number (1951224738624).

Almost surely, 2^{110022121012100} is an apocalyptic number.

110022121012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110022121012100 is an abundant number, since it is smaller than the sum of its proper divisors (170954241349756).

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

110022121012100 is a wasteful number, since it uses less digits than its factorization.

110022121012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111010206 (or 111010199 counting only the distinct ones).

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

Adding to 110022121012100 its reverse (1210121220011), we get a palindrome (111232242232111).

The spelling of 110022121012100 in words is "one hundred ten trillion, twenty-two billion, one hundred twenty-one million, twelve thousand, one hundred".