10102034242200 has 96 divisors (see below), whose sum is σ = 31337284352400. Its totient is φ = 2692071221760.

The previous prime is 10102034242151. The next prime is 10102034242213. The reversal of 10102034242200 is 224243020101.

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, 4742755 + ... + 6534354.

Almost surely, 2^{10102034242200} is an apocalyptic number.

10102034242200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10102034242200 is an abundant number, since it is smaller than the sum of its proper divisors (21235250110200).

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

10102034242200 is a wasteful number, since it uses less digits than its factorization.

10102034242200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11278621 (or 11278612 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 10102034242200 its reverse (224243020101), we get a palindrome (10326277262301).

The spelling of 10102034242200 in words is "ten trillion, one hundred two billion, thirty-four million, two hundred forty-two thousand, two hundred".