101002314024 has 24 divisors (see below), whose sum is σ = 273547934010. Its totient is φ = 33667437984.

The previous prime is 101002313999. The next prime is 101002314043. The reversal of 101002314024 is 420413200101.

It can be written as a sum of positive squares in only one way, i.e., 100921853124 + 80460900 = 317682^2 + 8970^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101002313988 and 101002314006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 701404887 + ... + 701405030.

Almost surely, 2^101002314024 is an apocalyptic number.

It is an amenable number.

101002314024 is an abundant number, since it is smaller than the sum of its proper divisors (172545619986).

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

101002314024 is a wasteful number, since it uses less digits than its factorization.

101002314024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1402809929 (or 1402809922 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 101002314024 its reverse (420413200101), we get a palindrome (521415514125).

The spelling of 101002314024 in words is "one hundred one billion, two million, three hundred fourteen thousand, twenty-four".