102202022100101 has 32 divisors (see below), whose sum is σ = 128166939187200. Its totient is φ = 79171780438080.

The previous prime is 102202022100089. The next prime is 102202022100103. The reversal of 102202022100101 is 101001220202201.

It is not a de Polignac number, because 102202022100101 - 2¹⁸ = 102202021837957 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102202022100103) 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, 50458760 + ... + 52445118.

It is an arithmetic number, because the mean of its divisors is an integer number (4005216849600).

Almost surely, 2^{102202022100101} is an apocalyptic number.

102202022100101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102202022100101 is a deficient number, since it is larger than the sum of its proper divisors (25964917087099).

102202022100101 is a wasteful number, since it uses less digits than its factorization.

102202022100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1990289.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102202022100101 its reverse (101001220202201), we get a palindrome (203203242302302).

The spelling of 102202022100101 in words is "one hundred two trillion, two hundred two billion, twenty-two million, one hundred thousand, one hundred one".