101010400402004 has 12 divisors (see below), whose sum is σ = 176768274181044. Its totient is φ = 50505179207424.

The previous prime is 101010400401943. The next prime is 101010400402091. The reversal of 101010400402004 is 400204004010101.

It can be written as a sum of positive squares in 2 ways, for example, as 81435102739600 + 19575297662404 = 9024140^2 + 4424398^2 .

It is a super-3 number, since 3×101010400402004³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 11555114 + ... + 18317790.

It is an arithmetic number, because the mean of its divisors is an integer number (14730689515087).

Almost surely, 2^{101010400402004} is an apocalyptic number.

It is an amenable number.

101010400402004 is a deficient number, since it is larger than the sum of its proper divisors (75757873779040).

101010400402004 is a wasteful number, since it uses less digits than its factorization.

101010400402004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10496794 (or 10496792 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 101010400402004 its reverse (400204004010101), we get a palindrome (501214404412105).

The spelling of 101010400402004 in words is "one hundred one trillion, ten billion, four hundred million, four hundred two thousand, four".