122010111221100 has 72 divisors (see below), whose sum is σ = 355181663793600. Its totient is φ = 32336422102080.

The previous prime is 122010111221083. The next prime is 122010111221101. The reversal of 122010111221100 is 1122111010221.

It is a happy number.

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 122010111221100.

It is not an unprimeable number, because it can be changed into a prime (122010111221101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1247498250 + ... + 1247596049.

It is an arithmetic number, because the mean of its divisors is an integer number (4933078663800).

Almost surely, 2^{122010111221100} is an apocalyptic number.

122010111221100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122010111221100 is an abundant number, since it is smaller than the sum of its proper divisors (233171552572500).

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

122010111221100 is a wasteful number, since it uses less digits than its factorization.

122010111221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2495094479 (or 2495094472 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 122010111221100 its reverse (1122111010221), we get a palindrome (123132222231321).

The spelling of 122010111221100 in words is "one hundred twenty-two trillion, ten billion, one hundred eleven million, two hundred twenty-one thousand, one hundred".