101021121223220 has 96 divisors (see below), whose sum is σ = 236833548779520. Its totient is φ = 35877432850560.

The previous prime is 101021121223189. The next prime is 101021121223229. The reversal of 101021121223220 is 22322121120101.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 101021121223192 and 101021121223201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101021121223229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106225949 + ... + 107172731.

It is an arithmetic number, because the mean of its divisors is an integer number (2467016133120).

Almost surely, 2^{101021121223220} is an apocalyptic number.

101021121223220 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 101021121223220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118416774389760).

101021121223220 is an abundant number, since it is smaller than the sum of its proper divisors (135812427556300).

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

101021121223220 is a wasteful number, since it uses less digits than its factorization.

101021121223220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 958125 (or 958123 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 101021121223220 its reverse (22322121120101), we get a palindrome (123343242343321).

The spelling of 101021121223220 in words is "one hundred one trillion, twenty-one billion, one hundred twenty-one million, two hundred twenty-three thousand, two hundred twenty".