101121112201020 has 96 divisors (see below), whose sum is σ = 290843273215488. Its totient is φ = 26232159889152.

The previous prime is 101121112201009. The next prime is 101121112201063. The reversal of 101121112201020 is 20102211121101.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 8432727 + ... + 16533393.

It is an arithmetic number, because the mean of its divisors is an integer number (3029617429328).

Almost surely, 2^{101121112201020} is an apocalyptic number.

101121112201020 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 101121112201020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145421636607744).

101121112201020 is an abundant number, since it is smaller than the sum of its proper divisors (189722161014468).

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

101121112201020 is a wasteful number, since it uses less digits than its factorization.

101121112201020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8106339 (or 8106337 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 101121112201020 its reverse (20102211121101), we get a palindrome (121223323322121).

The spelling of 101121112201020 in words is "one hundred one trillion, one hundred twenty-one billion, one hundred twelve million, two hundred one thousand, twenty".