102004201146126 has 32 divisors (see below), whose sum is σ = 205379281755648. Its totient is φ = 33773658696000.

The previous prime is 102004201146119. The next prime is 102004201146167. The reversal of 102004201146126 is 621641102400201.

It is a junction number, because it is equal to n+sod(n) for n = 102004201146093 and 102004201146102.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 91725055 + ... + 92830458.

It is an arithmetic number, because the mean of its divisors is an integer number (6418102554864).

Almost surely, 2^{102004201146126} is an apocalyptic number.

102004201146126 is an abundant number, since it is smaller than the sum of its proper divisors (103375080609522).

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

102004201146126 is a wasteful number, since it uses less digits than its factorization.

102004201146126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184556136.

The product of its (nonzero) digits is 4608, while the sum is 30.

Adding to 102004201146126 its reverse (621641102400201), we get a palindrome (723645303546327).

The spelling of 102004201146126 in words is "one hundred two trillion, four billion, two hundred one million, one hundred forty-six thousand, one hundred twenty-six".