210001111122000 has 1280 divisors, whose sum is σ = 769278346177536. Its totient is φ = 48837427200000.

The previous prime is 210001111121939. The next prime is 210001111122059. The reversal of 210001111122000 is 221111100012.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 63386992344 + ... + 63386995656.

Almost surely, 2^{210001111122000} is an apocalyptic number.

210001111122000 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 210001111122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384639173088768).

210001111122000 is an abundant number, since it is smaller than the sum of its proper divisors (559277235055536).

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

210001111122000 is a wasteful number, since it uses less digits than its factorization.

210001111122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3745 (or 3729 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 210001111122000 its reverse (221111100012), we get a palindrome (210222222222012).

The spelling of 210001111122000 in words is "two hundred ten trillion, one billion, one hundred eleven million, one hundred twenty-two thousand".