100111221221022 has 128 divisors (see below), whose sum is σ = 248432674406400. Its totient is φ = 29622378463200.

The previous prime is 100111221220937. The next prime is 100111221221041. The reversal of 100111221221022 is 220122122111001.

100111221221022 is a `hidden beast` number, since 100 + 111 + 221 + 2 + 210 + 22 = 666.

It is a super-2 number, since 2×100111221221022² (a number of 29 digits) contains 22 as substring.

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 = 100111221220986 and 100111221221004.

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, 7872679 + ... + 16192637.

It is an arithmetic number, because the mean of its divisors is an integer number (1940880268800).

Almost surely, 2^{100111221221022} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100111221221022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124216337203200).

100111221221022 is an abundant number, since it is smaller than the sum of its proper divisors (148321453185378).

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

100111221221022 is a wasteful number, since it uses less digits than its factorization.

100111221221022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8320459 (or 8320453 counting only the distinct ones).

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

Adding to 100111221221022 its reverse (220122122111001), we get a palindrome (320233343332023).

The spelling of 100111221221022 in words is "one hundred trillion, one hundred eleven billion, two hundred twenty-one million, two hundred twenty-one thousand, twenty-two".