211002012001000 has 192 divisors, whose sum is σ = 543685645797840. Its totient is φ = 76590227648000.

The previous prime is 211002012000881. The next prime is 211002012001007. The reversal of 211002012001000 is 100210200112.

It can be written as a sum of positive squares in 8 ways, for example, as 1375455148804 + 209626556852196 = 1172798^2 + 14478486^2 .

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

It is not an unprimeable number, because it can be changed into a prime (211002012001007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65831634 + ... + 68962366.

Almost surely, 2^{211002012001000} is an apocalyptic number.

211002012001000 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 211002012001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271842822898920).

211002012001000 is an abundant number, since it is smaller than the sum of its proper divisors (332683633796840).

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

211002012001000 is a wasteful number, since it uses less digits than its factorization.

211002012001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3131333 (or 3131308 counting only the distinct ones).

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

Adding to 211002012001000 its reverse (100210200112), we get a palindrome (211102222201112).

The spelling of 211002012001000 in words is "two hundred eleven trillion, two billion, twelve million, one thousand".