102133121310 has 192 divisors, whose sum is σ = 299528798400. Its totient is φ = 23927408640.

The previous prime is 102133121231. The next prime is 102133121333. The reversal of 102133121310 is 13121331201.

102133121310 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 331 + 21 + 310 = 666.

It is a super-2 number, since 2×102133121310² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5448514 + ... + 5467226.

It is an arithmetic number, because the mean of its divisors is an integer number (1560045825).

Almost surely, 2^102133121310 is an apocalyptic number.

102133121310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102133121310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149764399200).

102133121310 is an abundant number, since it is smaller than the sum of its proper divisors (197395677090).

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

102133121310 is a wasteful number, since it uses less digits than its factorization.

102133121310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18923 (or 18920 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 102133121310 its reverse (13121331201), we get a palindrome (115254452511).

The spelling of 102133121310 in words is "one hundred two billion, one hundred thirty-three million, one hundred twenty-one thousand, three hundred ten".