1001010102001 has 16 divisors (see below), whose sum is σ = 1249364729088. Its totient is φ = 780852945600.

The previous prime is 1001010101963. The next prime is 1001010102041. The reversal of 1001010102001 is 1002010101001.

It is not a de Polignac number, because 1001010102001 - 2⁹ = 1001010101489 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is not an unprimeable number, because it can be changed into a prime (1001010102041) 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 15 ways as a sum of consecutive naturals, for example, 77459110 + ... + 77472031.

It is an arithmetic number, because the mean of its divisors is an integer number (78085295568).

Almost surely, 2^{1001010102001} is an apocalyptic number.

It is an amenable number.

1001010102001 is a deficient number, since it is larger than the sum of its proper divisors (248354627087).

1001010102001 is a wasteful number, since it uses less digits than its factorization.

1001010102001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154931232.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 1001010102001 its reverse (1002010101001), we get a palindrome (2003020203002).

It can be divided in two parts, 1001010 and 102001, that added together give a palindrome (1103011).

The spelling of 1001010102001 in words is "one trillion, one billion, ten million, one hundred two thousand, one".