122101001120220 has 192 divisors, whose sum is σ = 368358547415040. Its totient is φ = 30131484134400.

The previous prime is 122101001120213. The next prime is 122101001120233. The reversal of 122101001120220 is 22021100101221.

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

It is a self number, because there is not a number n which added to its sum of digits gives 122101001120220.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 152796666 + ... + 153593694.

It is an arithmetic number, because the mean of its divisors is an integer number (1918534101120).

Almost surely, 2^{122101001120220} is an apocalyptic number.

122101001120220 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 122101001120220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184179273707520).

122101001120220 is an abundant number, since it is smaller than the sum of its proper divisors (246257546294820).

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

122101001120220 is a wasteful number, since it uses less digits than its factorization.

122101001120220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800676 (or 800674 counting only the distinct ones).

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

Adding to 122101001120220 its reverse (22021100101221), we get a palindrome (144122101221441).

The spelling of 122101001120220 in words is "one hundred twenty-two trillion, one hundred one billion, one million, one hundred twenty thousand, two hundred twenty".