100111022221120 has 28 divisors (see below), whose sum is σ = 238389371664804. Its totient is φ = 40044408888320.

The previous prime is 100111022221117. The next prime is 100111022221123. The reversal of 100111022221120 is 21122220111001.

It is an interprime number because it is at equal distance from previous prime (100111022221117) and next prime (100111022221123).

It can be written as a sum of positive squares in 2 ways, for example, as 52904558696704 + 47206463524416 = 7273552^2 + 6870696^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 100111022221094 and 100111022221103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111022221123) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 156423471901 + ... + 156423472540.

Almost surely, 2^{100111022221120} is an apocalyptic number.

100111022221120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100111022221120 is an abundant number, since it is smaller than the sum of its proper divisors (138278349443684).

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

100111022221120 is an equidigital number, since it uses as much as digits as its factorization.

100111022221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312846944458 (or 312846944448 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 100111022221120 its reverse (21122220111001), we get a palindrome (121233242332121).

The spelling of 100111022221120 in words is "one hundred trillion, one hundred eleven billion, twenty-two million, two hundred twenty-one thousand, one hundred twenty".