10200211000011 has 32 divisors (see below), whose sum is σ = 15177051179840. Its totient is φ = 6770619187200.

The previous prime is 10200211000003. The next prime is 10200211000037. The reversal of 10200211000011 is 11000011200201.

It is a happy number.

It is not a de Polignac number, because 10200211000011 - 2³ = 10200211000003 is a prime.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10200210999957 and 10200211000002.

It is not an unprimeable number, because it can be changed into a prime (10200211000061) by changing a digit.

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, 34215051 + ... + 34511883.

It is an arithmetic number, because the mean of its divisors is an integer number (474282849370).

Almost surely, 2^{10200211000011} is an apocalyptic number.

10200211000011 is a deficient number, since it is larger than the sum of its proper divisors (4976840179829).

10200211000011 is a wasteful number, since it uses less digits than its factorization.

10200211000011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302364 (or 302358 counting only the distinct ones).

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

Adding to 10200211000011 its reverse (11000011200201), we get a palindrome (21200222200212).

The spelling of 10200211000011 in words is "ten trillion, two hundred billion, two hundred eleven million, eleven", and thus it is an aban number.