101112120100220 has 24 divisors (see below), whose sum is σ = 216853227791424. Its totient is φ = 39584319358016.

The previous prime is 101112120100181. The next prime is 101112120100223. The reversal of 101112120100220 is 22001021211101.

It is a super-2 number, since 2×101112120100220² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101112120100195 and 101112120100204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101112120100223) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 53783041667 + ... + 53783043546.

It is an arithmetic number, because the mean of its divisors is an integer number (9035551157976).

Almost surely, 2^{101112120100220} is an apocalyptic number.

101112120100220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101112120100220 is an abundant number, since it is smaller than the sum of its proper divisors (115741107691204).

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

101112120100220 is a wasteful number, since it uses less digits than its factorization.

101112120100220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107566085269 (or 107566085267 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101112120100220 its reverse (22001021211101), we get a palindrome (123113141311321).

The spelling of 101112120100220 in words is "one hundred one trillion, one hundred twelve billion, one hundred twenty million, one hundred thousand, two hundred twenty".