101222122122 has 128 divisors (see below), whose sum is σ = 247320760320. Its totient is φ = 30432568320.

The previous prime is 101222122121. The next prime is 101222122123. The reversal of 101222122122 is 221221222101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101222122121) and next prime (101222122123).

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 = 101222122095 and 101222122104.

It is not an unprimeable number, because it can be changed into a prime (101222122121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53078293 + ... + 53080199.

It is an arithmetic number, because the mean of its divisors is an integer number (1932193440).

Almost surely, 2^101222122122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101222122122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123660380160).

101222122122 is an abundant number, since it is smaller than the sum of its proper divisors (146098638198).

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

101222122122 is a wasteful number, since it uses less digits than its factorization.

101222122122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2585 (or 2579 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 101222122122 its reverse (221221222101), we get a palindrome (322443344223).

The spelling of 101222122122 in words is "one hundred one billion, two hundred twenty-two million, one hundred twenty-two thousand, one hundred twenty-two".