101111221012122 has 320 divisors, whose sum is σ = 246143587345920. Its totient is φ = 30901118976000.

The previous prime is 101111221012093. The next prime is 101111221012237. The reversal of 101111221012122 is 221210122111101.

It is a happy number.

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 = 101111221012095 and 101111221012104.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 27042314529 + ... + 27042318267.

It is an arithmetic number, because the mean of its divisors is an integer number (769198710456).

Almost surely, 2^{101111221012122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101111221012122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123071793672960).

101111221012122 is an abundant number, since it is smaller than the sum of its proper divisors (145032366333798).

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

101111221012122 is a wasteful number, since it uses less digits than its factorization.

101111221012122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4739 (or 4730 counting only the distinct ones).

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

Adding to 101111221012122 its reverse (221210122111101), we get a palindrome (322321343123223).

The spelling of 101111221012122 in words is "one hundred one trillion, one hundred eleven billion, two hundred twenty-one million, twelve thousand, one hundred twenty-two".