102032101013301 has 48 divisors (see below), whose sum is σ = 151581591854784. Its totient is φ = 66111379310592.

The previous prime is 102032101013281. The next prime is 102032101013303. The reversal of 102032101013301 is 103310101230201.

102032101013301 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 321 + 0 + 10 + 1 + 330 + 1 = 666.

It is not a de Polignac number, because 102032101013301 - 2⁶ = 102032101013237 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102032101013303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36540565 + ... + 39233621.

It is an arithmetic number, because the mean of its divisors is an integer number (3157949830308).

Almost surely, 2^{102032101013301} is an apocalyptic number.

It is an amenable number.

102032101013301 is a deficient number, since it is larger than the sum of its proper divisors (49549490841483).

102032101013301 is a wasteful number, since it uses less digits than its factorization.

102032101013301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2693970 (or 2693967 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 102032101013301 its reverse (103310101230201), we get a palindrome (205342202243502).

The spelling of 102032101013301 in words is "one hundred two trillion, thirty-two billion, one hundred one million, thirteen thousand, three hundred one".