212211101001000 has 128 divisors (see below), whose sum is σ = 665067689395200. Its totient is φ = 56335861612800.

The previous prime is 212211101000971. The next prime is 212211101001001. The reversal of 212211101001000 is 100101112212.

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

It is not an unprimeable number, because it can be changed into a prime (212211101001001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157934215 + ... + 159272214.

It is an arithmetic number, because the mean of its divisors is an integer number (5195841323400).

Almost surely, 2^{212211101001000} is an apocalyptic number.

212211101001000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212211101001000 is an abundant number, since it is smaller than the sum of its proper divisors (452856588394200).

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

212211101001000 is a wasteful number, since it uses less digits than its factorization.

212211101001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317206676 (or 317206662 counting only the distinct ones).

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

Adding to 212211101001000 its reverse (100101112212), we get a palindrome (212311202113212).

The spelling of 212211101001000 in words is "two hundred twelve trillion, two hundred eleven billion, one hundred one million, one thousand".