211012002102 has 256 divisors, whose sum is σ = 501358657536. Its totient is φ = 58570512000.

The previous prime is 211012002073. The next prime is 211012002107. The reversal of 211012002102 is 201200210112.

211012002102 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211012002107) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1000056777 + ... + 1000056987.

It is an arithmetic number, because the mean of its divisors is an integer number (1958432256).

Almost surely, 2^211012002102 is an apocalyptic number.

211012002102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 211012002102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250679328768).

211012002102 is an abundant number, since it is smaller than the sum of its proper divisors (290346655434).

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

211012002102 is a wasteful number, since it uses less digits than its factorization.

211012002102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 211012002102 its reverse (201200210112), we get a palindrome (412212212214).

The spelling of 211012002102 in words is "two hundred eleven billion, twelve million, two thousand, one hundred two".