211010121000 has 288 divisors, whose sum is σ = 829659079080. Its totient is φ = 48230784000.

The previous prime is 211010120987. The next prime is 211010121013. The reversal of 211010121000 is 121010112.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (211010120987) and next prime (211010121013).

It can be written as a sum of positive squares in 4 ways, for example, as 63355910436 + 147654210564 = 251706^2 + 384258^2 .

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 201760 + ... + 680240.

Almost surely, 2^211010121000 is an apocalyptic number.

211010121000 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 211010121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414829539540).

211010121000 is an abundant number, since it is smaller than the sum of its proper divisors (618648958080).

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

211010121000 is a wasteful number, since it uses less digits than its factorization.

211010121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478522 (or 478498 counting only the distinct ones).

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

Adding to 211010121000 its reverse (121010112), we get a palindrome (211131131112).

The spelling of 211010121000 in words is "two hundred eleven billion, ten million, one hundred twenty-one thousand".