101101112122220 has 192 divisors, whose sum is σ = 245753024799744. Its totient is φ = 34222175170560.

The previous prime is 101101112122207. The next prime is 101101112122247. The reversal of 101101112122220 is 22221211101101.

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, 2690916035 + ... + 2690953605.

It is an arithmetic number, because the mean of its divisors is an integer number (1279963670832).

Almost surely, 2^{101101112122220} is an apocalyptic number.

101101112122220 is a gapful number since it is divisible by the number (10) 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 101101112122220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122876512399872).

101101112122220 is an abundant number, since it is smaller than the sum of its proper divisors (144651912677524).

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

101101112122220 is a wasteful number, since it uses less digits than its factorization.

101101112122220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38488 (or 38486 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 101101112122220 its reverse (22221211101101), we get a palindrome (123322323223321).

The spelling of 101101112122220 in words is "one hundred one trillion, one hundred one billion, one hundred twelve million, one hundred twenty-two thousand, two hundred twenty".