101221033011126 has 24 divisors (see below), whose sum is σ = 235493831904120. Its totient is φ = 28920295145952.

The previous prime is 101221033011107. The next prime is 101221033011127. The reversal of 101221033011126 is 621110330122101.

It is a junction number, because it is equal to n+sod(n) for n = 101221033011096 and 101221033011105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101221033011127) 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 11 ways as a sum of consecutive naturals, for example, 172144613671 + ... + 172144614258.

It is an arithmetic number, because the mean of its divisors is an integer number (9812242996005).

Almost surely, 2^{101221033011126} is an apocalyptic number.

101221033011126 is an abundant number, since it is smaller than the sum of its proper divisors (134272798892994).

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

101221033011126 is a wasteful number, since it uses less digits than its factorization.

101221033011126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344289227948 (or 344289227941 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

Adding to 101221033011126 its reverse (621110330122101), we get a palindrome (722331363133227).

The spelling of 101221033011126 in words is "one hundred one trillion, two hundred twenty-one billion, thirty-three million, eleven thousand, one hundred twenty-six".