211201102000 has 80 divisors (see below), whose sum is σ = 583639198272. Its totient is φ = 72411801600.

The previous prime is 211201101959. The next prime is 211201102033. The reversal of 211201102000 is 201102112.

211201102000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7528897 + ... + 7556896.

Almost surely, 2^211201102000 is an apocalyptic number.

211201102000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211201102000 is an abundant number, since it is smaller than the sum of its proper divisors (372438096272).

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

211201102000 is a wasteful number, since it uses less digits than its factorization.

211201102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15085823 (or 15085807 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 211201102000 its reverse (201102112), we get a palindrome (211402204112).

The spelling of 211201102000 in words is "two hundred eleven billion, two hundred one million, one hundred two thousand".