211003220001000 has 128 divisors (see below), whose sum is σ = 752377195964160. Its totient is φ = 48229307424000.

The previous prime is 211003220000999. The next prime is 211003220001001. The reversal of 211003220001000 is 100022300112.

211003220001000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (211003220000999) and next prime (211003220001001).

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 (211003220001001) 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, 5023865191 + ... + 5023907190.

It is an arithmetic number, because the mean of its divisors is an integer number (5877946843470).

Almost surely, 2^{211003220001000} is an apocalyptic number.

211003220001000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211003220001000 is an abundant number, since it is smaller than the sum of its proper divisors (541373975963160).

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

211003220001000 is a wasteful number, since it uses less digits than its factorization.

211003220001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10047772412 (or 10047772398 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 211003220001000 its reverse (100022300112), we get a palindrome (211103242301112).

The spelling of 211003220001000 in words is "two hundred eleven trillion, three billion, two hundred twenty million, one thousand".