101120221021122 has 24 divisors (see below), whose sum is σ = 222363869113776. Its totient is φ = 33203654663256.

The previous prime is 101120221021087. The next prime is 101120221021123. The reversal of 101120221021122 is 221120122021101.

101120221021122 is a `hidden beast` number, since 10 + 11 + 202 + 210 + 211 + 22 = 666.

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 = 101120221021095 and 101120221021104.

It is not an unprimeable number, because it can be changed into a prime (101120221021123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41923805188 + ... + 41923807599.

It is an arithmetic number, because the mean of its divisors is an integer number (9265161213074).

Almost surely, 2^{101120221021122} is an apocalyptic number.

101120221021122 is an abundant number, since it is smaller than the sum of its proper divisors (121243648092654).

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

101120221021122 is a wasteful number, since it uses less digits than its factorization.

101120221021122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83847612862 (or 83847612859 counting only the distinct ones).

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

Adding to 101120221021122 its reverse (221120122021101), we get a palindrome (322240343042223).

The spelling of 101120221021122 in words is "one hundred one trillion, one hundred twenty billion, two hundred twenty-one million, twenty-one thousand, one hundred twenty-two".