102013302020201 has 64 divisors (see below), whose sum is σ = 124046880620544. Its totient is φ = 82621323820800.

The previous prime is 102013302020129. The next prime is 102013302020251. The reversal of 102013302020201 is 102020203310201.

It is a cyclic number.

It is not a de Polignac number, because 102013302020201 - 2²⁶ = 102013234911337 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 102013302020201.

It is not an unprimeable number, because it can be changed into a prime (102013302020251) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3329074586 + ... + 3329105228.

It is an arithmetic number, because the mean of its divisors is an integer number (1938232509696).

Almost surely, 2^{102013302020201} is an apocalyptic number.

102013302020201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102013302020201 is a deficient number, since it is larger than the sum of its proper divisors (22033578600343).

102013302020201 is a wasteful number, since it uses less digits than its factorization.

102013302020201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32694.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 102013302020201 its reverse (102020203310201), we get a palindrome (204033505330402).

The spelling of 102013302020201 in words is "one hundred two trillion, thirteen billion, three hundred two million, twenty thousand, two hundred one".