102122133000 has 64 divisors (see below), whose sum is σ = 318621064320. Its totient is φ = 27232568000.

The previous prime is 102122132989. The next prime is 102122133011. The reversal of 102122133000 is 331221201.

It is an interprime number because it is at equal distance from previous prime (102122132989) and next prime (102122133011).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17017356 + ... + 17023355.

It is an arithmetic number, because the mean of its divisors is an integer number (4978454130).

Almost surely, 2^102122133000 is an apocalyptic number.

102122133000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102122133000 is an abundant number, since it is smaller than the sum of its proper divisors (216498931320).

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

102122133000 is a wasteful number, since it uses less digits than its factorization.

102122133000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34040735 (or 34040721 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 102122133000 its reverse (331221201), we get a palindrome (102453354201).

The spelling of 102122133000 in words is "one hundred two billion, one hundred twenty-two million, one hundred thirty-three thousand".