10001101101984 has 72 divisors (see below), whose sum is σ = 28733833723140. Its totient is φ = 3299332313088.

The previous prime is 10001101101961. The next prime is 10001101102021. The reversal of 10001101101984 is 48910110110001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 10000900256400 + 200845584 = 3162420^2 + 14172^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 178972299 + ... + 179028170.

Almost surely, 2^{10001101101984} is an apocalyptic number.

It is an amenable number.

10001101101984 is an abundant number, since it is smaller than the sum of its proper divisors (18732732621156).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10001101101984 is a wasteful number, since it uses less digits than its factorization.

10001101101984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358000582 (or 358000571 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 27.

Adding to 10001101101984 its reverse (48910110110001), we get a palindrome (58911211211985).

The spelling of 10001101101984 in words is "ten trillion, one billion, one hundred one million, one hundred one thousand, nine hundred eighty-four".