101112121120122 has 24 divisors (see below), whose sum is σ = 250372871345376. Its totient is φ = 28889177462856.

The previous prime is 101112121120117. The next prime is 101112121120141. The reversal of 101112121120122 is 221021121211101.

It is a happy number.

It is a super-3 number, since 3×101112121120122³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 = 101112121120095 and 101112121120104.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 401238575748 + ... + 401238575999.

It is an arithmetic number, because the mean of its divisors is an integer number (10432202972724).

Almost surely, 2^{101112121120122} is an apocalyptic number.

101112121120122 is an abundant number, since it is smaller than the sum of its proper divisors (149260750225254).

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

101112121120122 is a wasteful number, since it uses less digits than its factorization.

101112121120122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802477151762 (or 802477151759 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 101112121120122 its reverse (221021121211101), we get a palindrome (322133242331223).

The spelling of 101112121120122 in words is "one hundred one trillion, one hundred twelve billion, one hundred twenty-one million, one hundred twenty thousand, one hundred twenty-two".