101221011122 has 192 divisors, whose sum is σ = 206106163200. Its totient is φ = 36381312000.

The previous prime is 101221011077. The next prime is 101221011131. The reversal of 101221011122 is 221110122101.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 101221011097 and 101221011106.

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, 286744898 + ... + 286745250.

It is an arithmetic number, because the mean of its divisors is an integer number (1073469600).

Almost surely, 2^101221011122 is an apocalyptic number.

101221011122 is an abundant number, since it is smaller than the sum of its proper divisors (104885152078).

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

101221011122 is a wasteful number, since it uses less digits than its factorization.

101221011122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101221011122 its reverse (221110122101), we get a palindrome (322331133223).

The spelling of 101221011122 in words is "one hundred one billion, two hundred twenty-one million, eleven thousand, one hundred twenty-two".