102124021144401 has 12 divisors (see below), whose sum is σ = 148589208382212. Its totient is φ = 67585726887936.

The previous prime is 102124021144393. The next prime is 102124021144489. The reversal of 102124021144401 is 104441120421201.

102124021144401 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 2 + 4 + 0 + 211 + 4 + 440 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 66745305248400 + 35378715896001 = 8169780^2 + 5948001^2 .

It is not a de Polignac number, because 102124021144401 - 2³ = 102124021144393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102124021144501) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41412821616 + ... + 41412824081.

It is an arithmetic number, because the mean of its divisors is an integer number (12382434031851).

Almost surely, 2^{102124021144401} is an apocalyptic number.

It is an amenable number.

102124021144401 is a deficient number, since it is larger than the sum of its proper divisors (46465187237811).

102124021144401 is a wasteful number, since it uses less digits than its factorization.

102124021144401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82825645840 (or 82825645837 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 102124021144401 its reverse (104441120421201), we get a palindrome (206565141565602).

The spelling of 102124021144401 in words is "one hundred two trillion, one hundred twenty-four billion, twenty-one million, one hundred forty-four thousand, four hundred one".