211112102201000 has 1536 divisors, whose sum is σ = 718899078643200. Its totient is φ = 56841523200000.

The previous prime is 211112102200969. The next prime is 211112102201029. The reversal of 211112102201000 is 102201211112.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 21322296050 + ... + 21322305950.

It is an arithmetic number, because the mean of its divisors is an integer number (468033254325).

Almost surely, 2^{211112102201000} is an apocalyptic number.

211112102201000 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 211112102201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359449539321600).

211112102201000 is an abundant number, since it is smaller than the sum of its proper divisors (507786976442200).

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

211112102201000 is a wasteful number, since it uses less digits than its factorization.

211112102201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10156 (or 10135 counting only the distinct ones).

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

Adding to 211112102201000 its reverse (102201211112), we get a palindrome (211214303412112).

It can be divided in two parts, 211 and 112102201000, that added together give a palindrome (112102201211).

The spelling of 211112102201000 in words is "two hundred eleven trillion, one hundred twelve billion, one hundred two million, two hundred one thousand".