102013223302100 has 1296 divisors, whose sum is σ = 282680240181696. Its totient is φ = 31789465804800.

The previous prime is 102013223302099. The next prime is 102013223302147. The reversal of 102013223302100 is 1203322310201.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 293986234127 + ... + 293986234473.

It is an arithmetic number, because the mean of its divisors is an integer number (218117469276).

Almost surely, 2^{102013223302100} is an apocalyptic number.

102013223302100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102013223302100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141340120090848).

102013223302100 is an abundant number, since it is smaller than the sum of its proper divisors (180667016879596).

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

102013223302100 is a wasteful number, since it uses less digits than its factorization.

102013223302100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 102013223302100 its reverse (1203322310201), we get a palindrome (103216545612301).

The spelling of 102013223302100 in words is "one hundred two trillion, thirteen billion, two hundred twenty-three million, three hundred two thousand, one hundred".