1010010211001 has 16 divisors (see below), whose sum is σ = 1167201731520. Its totient is φ = 863765844480.

The previous prime is 1010010210917. The next prime is 1010010211033. The reversal of 1010010211001 is 1001120100101.

It is a happy number.

1010010211001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1010010211001 - 2³⁸ = 735132304057 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1010010211001.

It is not an unprimeable number, because it can be changed into a prime (1010010211061) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 902111 + ... + 1683396.

It is an arithmetic number, because the mean of its divisors is an integer number (72950108220).

Almost surely, 2^{1010010211001} is an apocalyptic number.

1010010211001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1010010211001 is a deficient number, since it is larger than the sum of its proper divisors (157191520519).

1010010211001 is a wasteful number, since it uses less digits than its factorization.

1010010211001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2587624.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 1010010211001 its reverse (1001120100101), we get a palindrome (2011130311102).

The spelling of 1010010211001 in words is "one trillion, ten billion, ten million, two hundred eleven thousand, one".