1010010212001 has 24 divisors (see below), whose sum is σ = 1678360305024. Its totient is φ = 573326510400.

The previous prime is 1010010211981. The next prime is 1010010212033. The reversal of 1010010212001 is 1002120100101.

It is a happy number.

It is not a de Polignac number, because 1010010212001 - 2²³ = 1010001823393 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 (1010010212051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53076276 + ... + 53095301.

It is an arithmetic number, because the mean of its divisors is an integer number (69931679376).

Almost surely, 2^{1010010212001} is an apocalyptic number.

It is an amenable number.

1010010212001 is a deficient number, since it is larger than the sum of its proper divisors (668350093023).

1010010212001 is a wasteful number, since it uses less digits than its factorization.

1010010212001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106171741 (or 106171738 counting only the distinct ones).

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

Adding to 1010010212001 its reverse (1002120100101), we get a palindrome (2012130312102).

The spelling of 1010010212001 in words is "one trillion, ten billion, ten million, two hundred twelve thousand, one".