110021211202122 has 1152 divisors, whose sum is σ = 300439120101120. Its totient is φ = 28926587289600.

The previous prime is 110021211202103. The next prime is 110021211202163. The reversal of 110021211202122 is 221202112120011.

110021211202122 is a `hidden beast` number, since 110 + 0 + 21 + 211 + 202 + 122 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 110021211202095 and 110021211202104.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 409000785004 + ... + 409000785272.

It is an arithmetic number, because the mean of its divisors is an integer number (260797847310).

Almost surely, 2^{110021211202122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110021211202122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150219560050560).

110021211202122 is an abundant number, since it is smaller than the sum of its proper divisors (190417908898998).

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

110021211202122 is a wasteful number, since it uses less digits than its factorization.

110021211202122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 110021211202122 its reverse (221202112120011), we get a palindrome (331223323322133).

The spelling of 110021211202122 in words is "one hundred ten trillion, twenty-one billion, two hundred eleven million, two hundred two thousand, one hundred twenty-two".