211020021120100 has 36 divisors (see below), whose sum is σ = 457921586744244. Its totient is φ = 84406507818880.

The previous prime is 211020021120089. The next prime is 211020021120101. The reversal of 211020021120100 is 1021120020112.

It can be written as a sum of positive squares in 6 ways, for example, as 101805315179044 + 109214705941056 = 10089862^2 + 10450584^2 .

It is not an unprimeable number, because it can be changed into a prime (211020021120101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13096399 + ... + 24362998.

It is an arithmetic number, because the mean of its divisors is an integer number (12720044076229).

Almost surely, 2^{211020021120100} is an apocalyptic number.

211020021120100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211020021120100 is an abundant number, since it is smaller than the sum of its proper divisors (246901565624144).

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

211020021120100 is a wasteful number, since it uses less digits than its factorization.

211020021120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37515744 (or 37515737 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 211020021120100 its reverse (1021120020112), we get a palindrome (212041141140212).

The spelling of 211020021120100 in words is "two hundred eleven trillion, twenty billion, twenty-one million, one hundred twenty thousand, one hundred".