101010001101002 has 24 divisors (see below), whose sum is σ = 177997215536100. Its totient is φ = 42861386601600.

The previous prime is 101010001100951. The next prime is 101010001101007. The reversal of 101010001101002 is 200101100010101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 71206273901161 + 29803727199841 = 8438381^2 + 5459279^2 .

It is not an unprimeable number, because it can be changed into a prime (101010001101007) 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, 5102536127 + ... + 5102555922.

Almost surely, 2^{101010001101002} is an apocalyptic number.

101010001101002 is a deficient number, since it is larger than the sum of its proper divisors (76987214435098).

101010001101002 is a wasteful number, since it uses less digits than its factorization.

101010001101002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10205092166 (or 10205092159 counting only the distinct ones).

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

Adding to 101010001101002 its reverse (200101100010101), we get a palindrome (301111101111103).

The spelling of 101010001101002 in words is "one hundred one trillion, ten billion, one million, one hundred one thousand, two".