102010110121300 has 72 divisors (see below), whose sum is σ = 222667648358400. Its totient is φ = 40563716688000.

The previous prime is 102010110121291. The next prime is 102010110121313. The reversal of 102010110121300 is 3121011010201.

It is a happy number.

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, 20678082 + ... + 25131718.

It is an arithmetic number, because the mean of its divisors is an integer number (3092606227200).

Almost surely, 2^{102010110121300} is an apocalyptic number.

102010110121300 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 102010110121300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111333824179200).

102010110121300 is an abundant number, since it is smaller than the sum of its proper divisors (120657538237100).

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

102010110121300 is a wasteful number, since it uses less digits than its factorization.

102010110121300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4455001 (or 4454994 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 102010110121300 its reverse (3121011010201), we get a palindrome (105131121131501).

The spelling of 102010110121300 in words is "one hundred two trillion, ten billion, one hundred ten million, one hundred twenty-one thousand, three hundred".