211002102010000 has 400 divisors, whose sum is σ = 618690218256000. Its totient is φ = 68075983872000.

The previous prime is 211002102009983. The next prime is 211002102010069. The reversal of 211002102010000 is 10201200112.

211002102010000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 197637624 + ... + 198702376.

It is an arithmetic number, because the mean of its divisors is an integer number (1546725545640).

Almost surely, 2^{211002102010000} is an apocalyptic number.

211002102010000 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 211002102010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309345109128000).

211002102010000 is an abundant number, since it is smaller than the sum of its proper divisors (407688116246000).

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

211002102010000 is a wasteful number, since it uses less digits than its factorization.

211002102010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1064956 (or 1064935 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 211002102010000 its reverse (10201200112), we get a palindrome (211012303210112).

The spelling of 211002102010000 in words is "two hundred eleven trillion, two billion, one hundred two million, ten thousand".