101101222120122 has 192 divisors, whose sum is σ = 260400100147200. Its totient is φ = 27746021646720.

The previous prime is 101101222120111. The next prime is 101101222120139. The reversal of 101101222120122 is 221021222101101.

101101222120122 is a `hidden beast` number, since 101 + 101 + 222 + 120 + 122 = 666.

It is a super-2 number, since 2×101101222120122² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101101222120095 and 101101222120104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4242412747 + ... + 4242436577.

It is an arithmetic number, because the mean of its divisors is an integer number (1356250521600).

Almost surely, 2^{101101222120122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101101222120122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130200050073600).

101101222120122 is an abundant number, since it is smaller than the sum of its proper divisors (159298878027078).

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

101101222120122 is a wasteful number, since it uses less digits than its factorization.

101101222120122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35481 (or 35478 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 101101222120122 its reverse (221021222101101), we get a palindrome (322122444221223).

The spelling of 101101222120122 in words is "one hundred one trillion, one hundred one billion, two hundred twenty-two million, one hundred twenty thousand, one hundred twenty-two".