122020101100000 has 144 divisors (see below), whose sum is σ = 303882291132336. Its totient is φ = 48219988480000.

The previous prime is 122020101099983. The next prime is 122020101100021. The reversal of 122020101100000 is 1101020221.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 122020101100000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 949392 + ... + 15650608.

It is an arithmetic number, because the mean of its divisors is an integer number (2110293688419).

Almost surely, 2^{122020101100000} is an apocalyptic number.

122020101100000 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 122020101100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151941145566168).

122020101100000 is an abundant number, since it is smaller than the sum of its proper divisors (181862190032336).

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

122020101100000 is an frugal number, since it uses more digits than its factorization.

122020101100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14701335 (or 14701307 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 122020101100000 its reverse (1101020221), we get a palindrome (122021202120221).

The spelling of 122020101100000 in words is "one hundred twenty-two trillion, twenty billion, one hundred one million, one hundred thousand".