102201100000101 has 12 divisors (see below), whose sum is σ = 147638184120960. Its totient is φ = 68127432969960.

The previous prime is 102201100000019. The next prime is 102201100000121. The reversal of 102201100000101 is 101000001102201.

It is a happy number.

It is not a de Polignac number, because 102201100000101 - 2⁹ = 102201099999589 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102201100000121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 552710491 + ... + 552895368.

It is an arithmetic number, because the mean of its divisors is an integer number (12303182010080).

Almost surely, 2^{102201100000101} is an apocalyptic number.

It is an amenable number.

102201100000101 is a deficient number, since it is larger than the sum of its proper divisors (45437084120859).

102201100000101 is a wasteful number, since it uses less digits than its factorization.

102201100000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105616136 (or 1105616133 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 102201100000101 its reverse (101000001102201), we get a palindrome (203201101102302).

The spelling of 102201100000101 in words is "one hundred two trillion, two hundred one billion, one hundred million, one hundred one", and thus it is an aban number.