101100022212222 has 48 divisors (see below), whose sum is σ = 239096373600240. Its totient is φ = 30619359504000.

The previous prime is 101100022212221. The next prime is 101100022212229. The reversal of 101100022212222 is 222212220001101.

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 = 101100022212195 and 101100022212204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101100022212221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 141399697 + ... + 142112892.

It is an arithmetic number, because the mean of its divisors is an integer number (4981174450005).

Almost surely, 2^{101100022212222} is an apocalyptic number.

101100022212222 is an abundant number, since it is smaller than the sum of its proper divisors (137996351388018).

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

101100022212222 is a wasteful number, since it uses less digits than its factorization.

101100022212222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283514409 (or 283514406 counting only the distinct ones).

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

Adding to 101100022212222 its reverse (222212220001101), we get a palindrome (323312242213323).

The spelling of 101100022212222 in words is "one hundred one trillion, one hundred billion, twenty-two million, two hundred twelve thousand, two hundred twenty-two".