211450361100 has 144 divisors (see below), whose sum is σ = 676815181056. Its totient is φ = 50538656000.

The previous prime is 211450361099. The next prime is 211450361117. The reversal of 211450361100 is 1163054112.

It is a happy number.

211450361100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×211450361100² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 216939 + ... + 685538.

It is an arithmetic number, because the mean of its divisors is an integer number (4700105424).

Almost surely, 2^211450361100 is an apocalyptic number.

211450361100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211450361100 is an abundant number, since it is smaller than the sum of its proper divisors (465364819956).

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

211450361100 is a wasteful number, since it uses less digits than its factorization.

211450361100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902576 (or 902569 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The spelling of 211450361100 in words is "two hundred eleven billion, four hundred fifty million, three hundred sixty-one thousand, one hundred".