201111012020000 has 480 divisors, whose sum is σ = 501820519218480. Its totient is φ = 79308103680000.

The previous prime is 201111012019999. The next prime is 201111012020011. The reversal of 201111012020000 is 20210111102.

It can be written as a sum of positive squares in 40 ways, for example, as 190986982598416 + 10124029421584 = 13819804^2 + 3181828^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 386009619740 + ... + 386009620260.

Almost surely, 2^{201111012020000} is an apocalyptic number.

201111012020000 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 201111012020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250910259609240).

201111012020000 is an abundant number, since it is smaller than the sum of its proper divisors (300709507198480).

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

201111012020000 is a wasteful number, since it uses less digits than its factorization.

201111012020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1434 (or 1411 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 201111012020000 its reverse (20210111102), we get a palindrome (201131222131102).

The spelling of 201111012020000 in words is "two hundred one trillion, one hundred eleven billion, twelve million, twenty thousand".