2101211001000 has 192 divisors, whose sum is σ = 7110706150080. Its totient is φ = 559643414400.

The previous prime is 2101211000969. The next prime is 2101211001013. The reversal of 2101211001000 is 1001121012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7301847 + ... + 7584153.

It is an arithmetic number, because the mean of its divisors is an integer number (37034927865).

Almost surely, 2^{2101211001000} is an apocalyptic number.

2101211001000 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 2101211001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3555353075040).

2101211001000 is an abundant number, since it is smaller than the sum of its proper divisors (5009495149080).

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

2101211001000 is a wasteful number, since it uses less digits than its factorization.

2101211001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283161 (or 283144 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 2101211001000 its reverse (1001121012), we get a palindrome (2102212122012).

It can be divided in two parts, 210121 and 1001000, that added together give a palindrome (1211121).

The spelling of 2101211001000 in words is "two trillion, one hundred one billion, two hundred eleven million, one thousand".