102201200101 has 48 divisors (see below), whose sum is σ = 139242913920. Its totient is φ = 72835925760.

The previous prime is 102201200071. The next prime is 102201200107. The reversal of 102201200101 is 101002102201.

It is not a de Polignac number, because 102201200101 - 2⁹ = 102201199589 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102201200107) 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, 1382391 + ... + 1454443.

It is an arithmetic number, because the mean of its divisors is an integer number (2900894040).

Almost surely, 2^102201200101 is an apocalyptic number.

102201200101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102201200101 is a deficient number, since it is larger than the sum of its proper divisors (37041713819).

102201200101 is a wasteful number, since it uses less digits than its factorization.

102201200101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72206 (or 72193 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 102201200101 its reverse (101002102201), we get a palindrome (203203302302).

The spelling of 102201200101 in words is "one hundred two billion, two hundred one million, two hundred thousand, one hundred one".