100022211111220 has 48 divisors (see below), whose sum is σ = 210091127149008. Its totient is φ = 40000412390400.

The previous prime is 100022211111181. The next prime is 100022211111223. The reversal of 100022211111220 is 22111112220001.

It can be written as a sum of positive squares in 8 ways, for example, as 46048004513424 + 53974206597796 = 6785868^2 + 7346714^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100022211111194 and 100022211111203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100022211111223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2240970024 + ... + 2241014656.

It is an arithmetic number, because the mean of its divisors is an integer number (4376898482271).

Almost surely, 2^{100022211111220} is an apocalyptic number.

100022211111220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100022211111220 is an abundant number, since it is smaller than the sum of its proper divisors (110068916037788).

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

100022211111220 is a wasteful number, since it uses less digits than its factorization.

100022211111220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65860 (or 65858 counting only the distinct ones).

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

Adding to 100022211111220 its reverse (22111112220001), we get a palindrome (122133323331221).

The spelling of 100022211111220 in words is "one hundred trillion, twenty-two billion, two hundred eleven million, one hundred eleven thousand, two hundred twenty".