122020001100 has 144 divisors (see below), whose sum is σ = 392993596800. Its totient is φ = 32478788160.

The previous prime is 122020001083. The next prime is 122020001101. The reversal of 122020001100 is 1100020221.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (122020001101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1435591 + ... + 1518209.

It is an arithmetic number, because the mean of its divisors is an integer number (2729122200).

Almost surely, 2^122020001100 is an apocalyptic number.

122020001100 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 122020001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196496798400).

122020001100 is an abundant number, since it is smaller than the sum of its proper divisors (270973595700).

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

122020001100 is a wasteful number, since it uses less digits than its factorization.

122020001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83189 (or 83176 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 122020001100 its reverse (1100020221), we get a palindrome (123120021321).

The spelling of 122020001100 in words is "one hundred twenty-two billion, twenty million, one thousand, one hundred".