101222011122120 has 384 divisors, whose sum is σ = 398140708492800. Its totient is φ = 21772345909248.

The previous prime is 101222011122073. The next prime is 101222011122131. The reversal of 101222011122120 is 21221110222101.

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 = 101222011122093 and 101222011122102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 302668837 + ... + 303003083.

It is an arithmetic number, because the mean of its divisors is an integer number (1036824761700).

Almost surely, 2^{101222011122120} is an apocalyptic number.

101222011122120 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 101222011122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199070354246400).

101222011122120 is an abundant number, since it is smaller than the sum of its proper divisors (296918697370680).

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

101222011122120 is a wasteful number, since it uses less digits than its factorization.

101222011122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341357 (or 341350 counting only the distinct ones).

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

Adding to 101222011122120 its reverse (21221110222101), we get a palindrome (122443121344221).

The spelling of 101222011122120 in words is "one hundred one trillion, two hundred twenty-two billion, eleven million, one hundred twenty-two thousand, one hundred twenty".