101020221211122 has 96 divisors (see below), whose sum is σ = 233791081113600. Its totient is φ = 32330574148320.

The previous prime is 101020221211103. The next prime is 101020221211123. The reversal of 101020221211122 is 221112122020101.

101020221211122 is a `hidden beast` number, since 10 + 102 + 0 + 221 + 211 + 122 = 666.

101020221211122 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 = 101020221211095 and 101020221211104.

It is not an unprimeable number, because it can be changed into a prime (101020221211123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1073497 + ... + 14254572.

It is an arithmetic number, because the mean of its divisors is an integer number (2435323761600).

Almost surely, 2^{101020221211122} is an apocalyptic number.

101020221211122 is an abundant number, since it is smaller than the sum of its proper divisors (132770859902478).

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

101020221211122 is a wasteful number, since it uses less digits than its factorization.

101020221211122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15328269 (or 15328232 counting only the distinct ones).

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

Adding to 101020221211122 its reverse (221112122020101), we get a palindrome (322132343231223).

The spelling of 101020221211122 in words is "one hundred one trillion, twenty billion, two hundred twenty-one million, two hundred eleven thousand, one hundred twenty-two".