211011201010000 has 50 divisors (see below), whose sum is σ = 510879218789522. Its totient is φ = 84404480400000.

The previous prime is 211011201009989. The next prime is 211011201010007. The reversal of 211011201010000 is 10102110112.

It can be written as a sum of positive squares in 5 ways, for example, as 45155335731984 + 165855865278016 = 6719772^2 + 12878504^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211011201010007) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 10550550051 + ... + 10550570050.

Almost surely, 2^{211011201010000} is an apocalyptic number.

211011201010000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211011201010000 is an abundant number, since it is smaller than the sum of its proper divisors (299868017779522).

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

211011201010000 is an equidigital number, since it uses as much as digits as its factorization.

211011201010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21101120129 (or 21101120108 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 211011201010000 its reverse (10102110112), we get a palindrome (211021303120112).

The spelling of 211011201010000 in words is "two hundred eleven trillion, eleven billion, two hundred one million, ten thousand".