110100021122000 has 320 divisors, whose sum is σ = 327688070621184. Its totient is φ = 34841608243200.

The previous prime is 110100021121931. The next prime is 110100021122041. The reversal of 110100021122000 is 221120001011.

It is a super-2 number, since 2×110100021122000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2646805202 + ... + 2646846798.

Almost surely, 2^{110100021122000} is an apocalyptic number.

110100021122000 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 110100021122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163844035310592).

110100021122000 is an abundant number, since it is smaller than the sum of its proper divisors (217588049499184).

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

110100021122000 is a wasteful number, since it uses less digits than its factorization.

110100021122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56183 (or 56167 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 110100021122000 its reverse (221120001011), we get a palindrome (110321141123011).

The spelling of 110100021122000 in words is "one hundred ten trillion, one hundred billion, twenty-one million, one hundred twenty-two thousand".