102233232100101 has 16 divisors (see below), whose sum is σ = 142242052663296. Its totient is φ = 65190137816496.

The previous prime is 102233232100063. The next prime is 102233232100133. The reversal of 102233232100101 is 101001232332201.

It is not a de Polignac number, because 102233232100101 - 2¹³ = 102233232091909 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102233232100171) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21309585 + ... + 25662518.

It is an arithmetic number, because the mean of its divisors is an integer number (8890128291456).

Almost surely, 2^{102233232100101} is an apocalyptic number.

It is an amenable number.

102233232100101 is a deficient number, since it is larger than the sum of its proper divisors (40008820563195).

102233232100101 is a wasteful number, since it uses less digits than its factorization.

102233232100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47003672.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 102233232100101 its reverse (101001232332201), we get a palindrome (203234464432302).

The spelling of 102233232100101 in words is "one hundred two trillion, two hundred thirty-three billion, two hundred thirty-two million, one hundred thousand, one hundred one".