10011211011000 has 256 divisors, whose sum is σ = 34734734236800. Its totient is φ = 2667409920000.

The previous prime is 10011211010989. The next prime is 10011211011031. The reversal of 10011211011000 is 11011211001.

10011211011000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32055600 + ... + 32366400.

Almost surely, 2^{10011211011000} is an apocalyptic number.

10011211011000 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 10011211011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17367367118400).

10011211011000 is an abundant number, since it is smaller than the sum of its proper divisors (24723523225800).

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

10011211011000 is a wasteful number, since it uses less digits than its factorization.

10011211011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312024 (or 312004 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 10011211011000 its reverse (11011211001), we get a palindrome (10022222222001).

The spelling of 10011211011000 in words is "ten trillion, eleven billion, two hundred eleven million, eleven thousand".