10100101100084 has 12 divisors (see below), whose sum is σ = 17688163839108. Its totient is φ = 5046340003200.

The previous prime is 10100101100083. The next prime is 10100101100107. The reversal of 10100101100084 is 48000110100101.

It can be written as a sum of positive squares in 2 ways, for example, as 1701824611600 + 8398276488484 = 1304540^2 + 2897978^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100101100081) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 927630587 + ... + 927641474.

It is an arithmetic number, because the mean of its divisors is an integer number (1474013653259).

Almost surely, 2^{10100101100084} is an apocalyptic number.

It is an amenable number.

10100101100084 is a deficient number, since it is larger than the sum of its proper divisors (7588062739024).

10100101100084 is a wasteful number, since it uses less digits than its factorization.

10100101100084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1855273426 (or 1855273424 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 10100101100084 its reverse (48000110100101), we get a palindrome (58100211200185).

The spelling of 10100101100084 in words is "ten trillion, one hundred billion, one hundred one million, one hundred thousand, eighty-four".