211002134112 has 384 divisors, whose sum is σ = 769807825920. Its totient is φ = 54625259520.

The previous prime is 211002134051. The next prime is 211002134143. The reversal of 211002134112 is 211431200112.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20818198 + ... + 20828330.

It is an arithmetic number, because the mean of its divisors is an integer number (2004707880).

Almost surely, 2^211002134112 is an apocalyptic number.

211002134112 is a gapful number since it is divisible by the number (22) 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 211002134112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384903912960).

211002134112 is an abundant number, since it is smaller than the sum of its proper divisors (558805691808).

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

211002134112 is a wasteful number, since it uses less digits than its factorization.

211002134112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10483 (or 10469 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 211002134112 its reverse (211431200112), we get a palindrome (422433334224).

The spelling of 211002134112 in words is "two hundred eleven billion, two million, one hundred thirty-four thousand, one hundred twelve".