10121211000 has 192 divisors, whose sum is σ = 35006605920. Its totient is φ = 2636121600.

The previous prime is 10121210989. The next prime is 10121211011. The reversal of 10121211000 is 11212101.

It is a happy number.

10121211000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10121210989) and next prime (10121211011).

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

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 373924 + ... + 400076.

Almost surely, 2^10121211000 is an apocalyptic number.

10121211000 is a gapful number since it is divisible by the number (10) 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 10121211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17503302960).

10121211000 is an abundant number, since it is smaller than the sum of its proper divisors (24885394920).

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

10121211000 is a wasteful number, since it uses less digits than its factorization.

10121211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26223 (or 26206 counting only the distinct ones).

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

Adding to 10121211000 its reverse (11212101), we get a palindrome (10132423101).

The spelling of 10121211000 in words is "ten billion, one hundred twenty-one million, two hundred eleven thousand".