22100101101120 has 896 divisors, whose sum is σ = 82998440616960. Its totient is φ = 4876947947520.

The previous prime is 22100101101073. The next prime is 22100101101139. The reversal of 22100101101120 is 2110110100122.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 22100101101096 and 22100101101105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23789128816 + ... + 23789129744.

Almost surely, 2^{22100101101120} is an apocalyptic number.

22100101101120 is a gapful number since it is divisible by the number (20) 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 22100101101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41499220308480).

22100101101120 is an abundant number, since it is smaller than the sum of its proper divisors (60898339515840).

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

22100101101120 is a wasteful number, since it uses less digits than its factorization.

22100101101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1631 (or 1621 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 22100101101120 its reverse (2110110100122), we get a palindrome (24210211201242).

The spelling of 22100101101120 in words is "twenty-two trillion, one hundred billion, one hundred one million, one hundred one thousand, one hundred twenty".