10211111002000 has 80 divisors (see below), whose sum is σ = 25108949174400. Its totient is φ = 4015216483200.

The previous prime is 10211111001991. The next prime is 10211111002049. The reversal of 10211111002000 is 20011111201.

10211111002000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43149420 + ... + 43385419.

It is an arithmetic number, because the mean of its divisors is an integer number (313861864680).

Almost surely, 2^{10211111002000} is an apocalyptic number.

10211111002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10211111002000 is an abundant number, since it is smaller than the sum of its proper divisors (14897838172400).

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

10211111002000 is an equidigital number, since it uses as much as digits as its factorization.

10211111002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86534921 (or 86534905 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10211111002000 its reverse (20011111201), we get a palindrome (10231122113201).

The spelling of 10211111002000 in words is "ten trillion, two hundred eleven billion, one hundred eleven million, two thousand".