122101201321020 has 144 divisors (see below), whose sum is σ = 377376150033792. Its totient is φ = 31944762071040.

The previous prime is 122101201321013. The next prime is 122101201321063. The reversal of 122101201321020 is 20123102101221.

122101201321020 is a `hidden beast` number, since 1 + 22 + 101 + 201 + 321 + 0 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 122101201320984 and 122101201321002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 266442685 + ... + 266900555.

It is an arithmetic number, because the mean of its divisors is an integer number (2620667708568).

Almost surely, 2^{122101201321020} is an apocalyptic number.

122101201321020 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 122101201321020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188688075016896).

122101201321020 is an abundant number, since it is smaller than the sum of its proper divisors (255274948712772).

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

122101201321020 is a wasteful number, since it uses less digits than its factorization.

122101201321020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485892 (or 485887 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 122101201321020 its reverse (20123102101221), we get a palindrome (142224303422241).

The spelling of 122101201321020 in words is "one hundred twenty-two trillion, one hundred one billion, two hundred one million, three hundred twenty-one thousand, twenty".