102201010012101 has 192 divisors, whose sum is σ = 187980867565568. Its totient is φ = 48046768704000.

The previous prime is 102201010012099. The next prime is 102201010012147. The reversal of 102201010012101 is 101210010102201.

It is not a de Polignac number, because 102201010012101 - 2¹ = 102201010012099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102201010012181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 618526386 + ... + 618691596.

Almost surely, 2^{102201010012101} is an apocalyptic number.

102201010012101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102201010012101 is a deficient number, since it is larger than the sum of its proper divisors (85779857553467).

102201010012101 is a wasteful number, since it uses less digits than its factorization.

102201010012101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165624 (or 165613 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 102201010012101 its reverse (101210010102201), we get a palindrome (203411020114302).

The spelling of 102201010012101 in words is "one hundred two trillion, two hundred one billion, ten million, twelve thousand, one hundred one".