102133001121312 has 384 divisors, whose sum is σ = 342065346416640. Its totient is φ = 26009567907840.

The previous prime is 102133001121311. The next prime is 102133001121343. The reversal of 102133001121312 is 213121100331201.

It is a super-2 number, since 2×102133001121312² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (102133001121311) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15062778 + ... + 20764230.

It is an arithmetic number, because the mean of its divisors is an integer number (890795172960).

Almost surely, 2^{102133001121312} is an apocalyptic number.

102133001121312 is a gapful number since it is divisible by the number (12) 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 102133001121312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171032673208320).

102133001121312 is an abundant number, since it is smaller than the sum of its proper divisors (239932345295328).

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

102133001121312 is a wasteful number, since it uses less digits than its factorization.

102133001121312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5701576 (or 5701568 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 102133001121312 its reverse (213121100331201), we get a palindrome (315254101452513).

The spelling of 102133001121312 in words is "one hundred two trillion, one hundred thirty-three billion, one million, one hundred twenty-one thousand, three hundred twelve".