10211200011000 has 128 divisors (see below), whose sum is σ = 35398826798400. Its totient is φ = 2722986662400.

The previous prime is 10211200010929. The next prime is 10211200011029. The reversal of 10211200011000 is 11000211201.

It is a happy number.

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 (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 189069297 + ... + 189123296.

Almost surely, 2^{10211200011000} is an apocalyptic number.

10211200011000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10211200011000 is an abundant number, since it is smaller than the sum of its proper divisors (25187626787400).

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

10211200011000 is a wasteful number, since it uses less digits than its factorization.

10211200011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378192623 (or 378192603 counting only the distinct ones).

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

Adding to 10211200011000 its reverse (11000211201), we get a palindrome (10222200222201).

The spelling of 10211200011000 in words is "ten trillion, two hundred eleven billion, two hundred million, eleven thousand".