102140103133044 has 72 divisors (see below), whose sum is σ = 259359245873000. Its totient is φ = 33892233663744.

The previous prime is 102140103133001. The next prime is 102140103133097. The reversal of 102140103133044 is 440331301041201.

102140103133044 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 40 + 1 + 0 + 313 + 304 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 24777875596644 + 77362227536400 = 4977738^2 + 8795580^2 .

It is a junction number, because it is equal to n+sod(n) for n = 102140103132999 and 102140103133017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47328522 + ... + 49439550.

Almost surely, 2^{102140103133044} is an apocalyptic number.

It is an amenable number.

102140103133044 is an abundant number, since it is smaller than the sum of its proper divisors (157219142739956).

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

102140103133044 is a wasteful number, since it uses less digits than its factorization.

102140103133044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2117137 (or 2117132 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 102140103133044 its reverse (440331301041201), we get a palindrome (542471404174245).

The spelling of 102140103133044 in words is "one hundred two trillion, one hundred forty billion, one hundred three million, one hundred thirty-three thousand, forty-four".