211311121202100 has 90 divisors (see below), whose sum is σ = 684987174026694. Its totient is φ = 56349632318400.

The previous prime is 211311121202087. The next prime is 211311121202101. The reversal of 211311121202100 is 1202121113112.

It is a happy number.

211311121202100 is a `hidden beast` number, since 2 + 1 + 1 + 311 + 121 + 20 + 210 + 0 = 666.

211311121202100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 4387902151824 + 206923219050276 = 2094732^2 + 14384826^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×211311121202100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211311121202101) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 13043888271 + ... + 13043904470.

Almost surely, 2^{211311121202100} is an apocalyptic number.

211311121202100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211311121202100 is an abundant number, since it is smaller than the sum of its proper divisors (473676052824594).

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

211311121202100 is a wasteful number, since it uses less digits than its factorization.

211311121202100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26087792767 (or 26087792751 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 211311121202100 its reverse (1202121113112), we get a palindrome (212513242315212).

The spelling of 211311121202100 in words is "two hundred eleven trillion, three hundred eleven billion, one hundred twenty-one million, two hundred two thousand, one hundred".