102133113232101 has 32 divisors (see below), whose sum is σ = 155767261497600. Its totient is φ = 58310850723840.

The previous prime is 102133113232037. The next prime is 102133113232109. The reversal of 102133113232101 is 101232311331201.

It is not a de Polignac number, because 102133113232101 - 2⁶ = 102133113232037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102133113232109) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 156300381 + ... + 156952461.

It is an arithmetic number, because the mean of its divisors is an integer number (4867726921800).

Almost surely, 2^{102133113232101} is an apocalyptic number.

It is an amenable number.

102133113232101 is a deficient number, since it is larger than the sum of its proper divisors (53634148265499).

102133113232101 is a wasteful number, since it uses less digits than its factorization.

102133113232101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658589.

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 102133113232101 its reverse (101232311331201), we get a palindrome (203365424563302).

The spelling of 102133113232101 in words is "one hundred two trillion, one hundred thirty-three billion, one hundred thirteen million, two hundred thirty-two thousand, one hundred one".