10021200110001 has 12 divisors (see below), whose sum is σ = 14524469787828. Its totient is φ = 6657998706144.

The previous prime is 10021200109997. The next prime is 10021200110023. The reversal of 10021200110001 is 10001100212001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 7692585149601 + 2328614960400 = 2773551^2 + 1525980^2 .

It is not a de Polignac number, because 10021200110001 - 2² = 10021200109997 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (10021200110071) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1900111150 + ... + 1900116423.

It is an arithmetic number, because the mean of its divisors is an integer number (1210372482319).

Almost surely, 2^{10021200110001} is an apocalyptic number.

It is an amenable number.

10021200110001 is a deficient number, since it is larger than the sum of its proper divisors (4503269677827).

10021200110001 is a wasteful number, since it uses less digits than its factorization.

10021200110001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3800227872 (or 3800227869 counting only the distinct ones).

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

Adding to 10021200110001 its reverse (10001100212001), we get a palindrome (20022300322002).

It can be divided in two parts, 100212001 and 10001, that multiplied together give a palindrome (1002220222001).

The spelling of 10021200110001 in words is "ten trillion, twenty-one billion, two hundred million, one hundred ten thousand, one".