211102201211000 has 384 divisors, whose sum is σ = 571845313166400. Its totient is φ = 72686135808000.

The previous prime is 211102201210987. The next prime is 211102201211009. The reversal of 211102201211000 is 112102201112.

It is a super-2 number, since 2×211102201211000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211102201211009) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4581883964 + ... + 4581930036.

Almost surely, 2^{211102201211000} is an apocalyptic number.

211102201211000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211102201211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285922656583200).

211102201211000 is an abundant number, since it is smaller than the sum of its proper divisors (360743111955400).

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

211102201211000 is a wasteful number, since it uses less digits than its factorization.

211102201211000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48128 (or 48103 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 211102201211000 its reverse (112102201112), we get a palindrome (211214303412112).

The spelling of 211102201211000 in words is "two hundred eleven trillion, one hundred two billion, two hundred one million, two hundred eleven thousand".