122121020121100 has 432 divisors, whose sum is σ = 362053084494528. Its totient is φ = 34787808000000.

The previous prime is 122121020121007. The next prime is 122121020121101. The reversal of 122121020121100 is 1121020121221.

It is a super-2 number, since 2×122121020121100² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122121020121101) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 110662050 + ... + 111760150.

Almost surely, 2^{122121020121100} is an apocalyptic number.

122121020121100 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 122121020121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181026542247264).

122121020121100 is an abundant number, since it is smaller than the sum of its proper divisors (239932064373428).

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

122121020121100 is a wasteful number, since it uses less digits than its factorization.

122121020121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1098258 (or 1098240 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 122121020121100 its reverse (1121020121221), we get a palindrome (123242040242321).

The spelling of 122121020121100 in words is "one hundred twenty-two trillion, one hundred twenty-one billion, twenty million, one hundred twenty-one thousand, one hundred".