10211012000 has 288 divisors, whose sum is σ = 29712795840. Its totient is φ = 3437683200.

The previous prime is 10211011997. The next prime is 10211012023. The reversal of 10211012000 is 21011201.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11563559 + ... + 11564441.

It is an arithmetic number, because the mean of its divisors is an integer number (103169430).

Almost surely, 2^10211012000 is an apocalyptic number.

10211012000 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 10211012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14856397920).

10211012000 is an abundant number, since it is smaller than the sum of its proper divisors (19501783840).

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

10211012000 is an equidigital number, since it uses as much as digits as its factorization.

10211012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 981 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10211012000 its reverse (21011201), we get a palindrome (10232023201).

The spelling of 10211012000 in words is "ten billion, two hundred eleven million, twelve thousand".