20126627201100 has 432 divisors, whose sum is σ = 69427063216896. Its totient is φ = 4486176576000.

The previous prime is 20126627201089. The next prime is 20126627201113. The reversal of 20126627201100 is 110272662102.

It is a super-2 number, since 2×20126627201100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 143 ways as a sum of consecutive naturals, for example, 398829870 + ... + 398880330.

Almost surely, 2^{20126627201100} is an apocalyptic number.

20126627201100 is a gapful number since it is divisible by the number (20) 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 20126627201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34713531608448).

20126627201100 is an abundant number, since it is smaller than the sum of its proper divisors (49300436015796).

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

20126627201100 is a wasteful number, since it uses less digits than its factorization.

20126627201100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51166 (or 51152 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

Adding to 20126627201100 its reverse (110272662102), we get a palindrome (20236899863202).

The spelling of 20126627201100 in words is "twenty trillion, one hundred twenty-six billion, six hundred twenty-seven million, two hundred one thousand, one hundred".