102202022012101 has 16 divisors (see below), whose sum is σ = 111538914651648. Its totient is φ = 92872765350000.

The previous prime is 102202022012099. The next prime is 102202022012137. The reversal of 102202022012101 is 101210220202201.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 102202022012101 - 2¹ = 102202022012099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102202022012161) 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, 1069828000 + ... + 1069923526.

It is an arithmetic number, because the mean of its divisors is an integer number (6971182165728).

Almost surely, 2^{102202022012101} is an apocalyptic number.

102202022012101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102202022012101 is a deficient number, since it is larger than the sum of its proper divisors (9336892639547).

102202022012101 is a wasteful number, since it uses less digits than its factorization.

102202022012101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134472.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102202022012101 its reverse (101210220202201), we get a palindrome (203412242214302).

The spelling of 102202022012101 in words is "one hundred two trillion, two hundred two billion, twenty-two million, twelve thousand, one hundred one".