102201212012101 has 8 divisors (see below), whose sum is σ = 102849428555640. Its totient is φ = 101553655906752.

The previous prime is 102201212012083. The next prime is 102201212012117. The reversal of 102201212012101 is 101210212102201.

It can be written as a sum of positive squares in 4 ways, for example, as 63378953988100 + 38822258024001 = 7961090^2 + 6230751^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102201212012101 - 2³¹ = 102199064528453 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 (102201212042101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 164799070 + ... + 165418063.

It is an arithmetic number, because the mean of its divisors is an integer number (12856178569455).

Almost surely, 2^{102201212012101} is an apocalyptic number.

It is an amenable number.

102201212012101 is a deficient number, since it is larger than the sum of its proper divisors (648216543539).

102201212012101 is a wasteful number, since it uses less digits than its factorization.

102201212012101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330219095.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 102201212012101 its reverse (101210212102201), we get a palindrome (203411424114302).

The spelling of 102201212012101 in words is "one hundred two trillion, two hundred one billion, two hundred twelve million, twelve thousand, one hundred one".