20101120591800 has 192 divisors, whose sum is σ = 62928043776000. Its totient is φ = 5307448481280.

The previous prime is 20101120591771. The next prime is 20101120591823. The reversal of 20101120591800 is 819502110102.

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

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 481339321 + ... + 481381079.

It is an arithmetic number, because the mean of its divisors is an integer number (327750228000).

Almost surely, 2^{20101120591800} is an apocalyptic number.

20101120591800 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 20101120591800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31464021888000).

20101120591800 is an abundant number, since it is smaller than the sum of its proper divisors (42826923184200).

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

20101120591800 is a wasteful number, since it uses less digits than its factorization.

20101120591800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49670 (or 49661 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 30.

The spelling of 20101120591800 in words is "twenty trillion, one hundred one billion, one hundred twenty million, five hundred ninety-one thousand, eight hundred".