101185147006821 has 48 divisors (see below), whose sum is σ = 151041974054400. Its totient is φ = 65233763592480.

The previous prime is 101185147006771. The next prime is 101185147006831. The reversal of 101185147006821 is 128600741581101.

It is a happy number.

101185147006821 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 8 + 514 + 70 + 0 + 68 + 2 + 1 = 666.

It is not a de Polignac number, because 101185147006821 - 2⁷ = 101185147006693 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101185147006831) 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 47 ways as a sum of consecutive naturals, for example, 69634776 + ... + 71073006.

It is an arithmetic number, because the mean of its divisors is an integer number (3146707792800).

Almost surely, 2^{101185147006821} is an apocalyptic number.

It is an amenable number.

101185147006821 is a deficient number, since it is larger than the sum of its proper divisors (49856827047579).

101185147006821 is a wasteful number, since it uses less digits than its factorization.

101185147006821 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1440086 (or 1440083 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 45.

Adding to 101185147006821 its reverse (128600741581101), we get a palindrome (229785888587922).

The spelling of 101185147006821 in words is "one hundred one trillion, one hundred eighty-five billion, one hundred forty-seven million, six thousand, eight hundred twenty-one".