210211101112012 has 288 divisors, whose sum is σ = 509671319012352. Its totient is φ = 73797514560000.

The previous prime is 210211101111989. The next prime is 210211101112013.

210211101112012 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (210211101112013) 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, 315506743 + ... + 316172305.

It is an arithmetic number, because the mean of its divisors is an integer number (1769692079904).

Almost surely, 2^{210211101112012} is an apocalyptic number.

210211101112012 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 210211101112012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254835659506176).

210211101112012 is an abundant number, since it is smaller than the sum of its proper divisors (299460217900340).

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

210211101112012 is a wasteful number, since it uses less digits than its factorization.

210211101112012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665781 (or 665768 counting only the distinct ones).

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

It can be divided in two parts, 21021110 and 1112012, that added together give a palindrome (22133122).

The spelling of 210211101112012 in words is "two hundred ten trillion, two hundred eleven billion, one hundred one million, one hundred twelve thousand, twelve".