20122133120100 has 216 divisors, whose sum is σ = 72426842822880. Its totient is φ = 4621351104000.

The previous prime is 20122133120083. The next prime is 20122133120137. The reversal of 20122133120100 is 102133122102.

It is a super-2 number, since 2×20122133120100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 53299761 + ... + 53675960.

Almost surely, 2^{20122133120100} is an apocalyptic number.

20122133120100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20122133120100 is an abundant number, since it is smaller than the sum of its proper divisors (52304709702780).

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

20122133120100 is a wasteful number, since it uses less digits than its factorization.

20122133120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106975771 (or 106975761 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 20122133120100 its reverse (102133122102), we get a palindrome (20224266242202).

The spelling of 20122133120100 in words is "twenty trillion, one hundred twenty-two billion, one hundred thirty-three million, one hundred twenty thousand, one hundred".