102013333310100 has 72 divisors (see below), whose sum is σ = 295160841622080. Its totient is φ = 27203346894080.

The previous prime is 102013333310099. The next prime is 102013333310117. The reversal of 102013333310100 is 1013333310201.

It is a super-3 number, since 3×102013333310100³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40056424 + ... + 42526976.

It is an arithmetic number, because the mean of its divisors is an integer number (4099456133640).

Almost surely, 2^{102013333310100} is an apocalyptic number.

102013333310100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102013333310100 is an abundant number, since it is smaller than the sum of its proper divisors (193147508311980).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102013333310100 is a wasteful number, since it uses less digits than its factorization.

102013333310100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2608209 (or 2608202 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 102013333310100 its reverse (1013333310201), we get a palindrome (103026666620301).

The spelling of 102013333310100 in words is "one hundred two trillion, thirteen billion, three hundred thirty-three million, three hundred ten thousand, one hundred".