1012101002001 has 12 divisors (see below), whose sum is σ = 1462372567812. Its totient is φ = 674526817536.

The previous prime is 1012101001981. The next prime is 1012101002023. The reversal of 1012101002001 is 1002001012101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 974435508225 + 37665493776 = 987135^2 + 194076^2 .

It is not a de Polignac number, because 1012101002001 - 2¹¹ = 1012100999953 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 (1012101009001) 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 11 ways as a sum of consecutive naturals, for example, 17234376 + ... + 17293001.

It is an arithmetic number, because the mean of its divisors is an integer number (121864380651).

Almost surely, 2^{1012101002001} is an apocalyptic number.

It is an amenable number.

1012101002001 is a deficient number, since it is larger than the sum of its proper divisors (450271565811).

1012101002001 is a wasteful number, since it uses less digits than its factorization.

1012101002001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34530640 (or 34530637 counting only the distinct ones).

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

Adding to 1012101002001 its reverse (1002001012101), we get a palindrome (2014102014102).

It can be divided in two parts, 101210100 and 2001, that added together give a palindrome (101212101).

The spelling of 1012101002001 in words is "one trillion, twelve billion, one hundred one million, two thousand, one".