20011296911100 has 432 divisors, whose sum is σ = 64639925363328. Its totient is φ = 4775221440000.

The previous prime is 20011296911087. The next prime is 20011296911107. The reversal of 20011296911100 is 111969211002.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20011296911107) 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, 4696382970 + ... + 4696387230.

Almost surely, 2^{20011296911100} is an apocalyptic number.

20011296911100 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 20011296911100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32319962681664).

20011296911100 is an abundant number, since it is smaller than the sum of its proper divisors (44628628452228).

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

20011296911100 is a wasteful number, since it uses less digits than its factorization.

20011296911100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6298 (or 6280 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 33.

The spelling of 20011296911100 in words is "twenty trillion, eleven billion, two hundred ninety-six million, nine hundred eleven thousand, one hundred".