20126271571100 has 288 divisors, whose sum is σ = 46306572189696. Its totient is φ = 7577805312000.

The previous prime is 20126271571093. The next prime is 20126271571103. The reversal of 20126271571100 is 117517262102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20126271571103) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28710800750 + ... + 28710801450.

It is an arithmetic number, because the mean of its divisors is an integer number (160786708992).

Almost surely, 2^{20126271571100} is an apocalyptic number.

20126271571100 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 20126271571100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23153286094848).

20126271571100 is an abundant number, since it is smaller than the sum of its proper divisors (26180300618596).

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

20126271571100 is a wasteful number, since it uses less digits than its factorization.

20126271571100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1525 (or 1518 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 35.

The spelling of 20126271571100 in words is "twenty trillion, one hundred twenty-six billion, two hundred seventy-one million, five hundred seventy-one thousand, one hundred".