101101222021020 has 192 divisors, whose sum is σ = 307889948620800. Its totient is φ = 24639147574272.

The previous prime is 101101222020961. The next prime is 101101222021021. The reversal of 101101222021020 is 20120222101101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101101222021021) 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 63 ways as a sum of consecutive naturals, for example, 353111881 + ... + 353398079.

It is an arithmetic number, because the mean of its divisors is an integer number (1603593482400).

Almost surely, 2^{101101222021020} is an apocalyptic number.

101101222021020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101101222021020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153944974310400).

101101222021020 is an abundant number, since it is smaller than the sum of its proper divisors (206788726599780).

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

101101222021020 is a wasteful number, since it uses less digits than its factorization.

101101222021020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290724 (or 290722 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 101101222021020 its reverse (20120222101101), we get a palindrome (121221444122121).

The spelling of 101101222021020 in words is "one hundred one trillion, one hundred one billion, two hundred twenty-two million, twenty-one thousand, twenty".