102133031220 has 384 divisors, whose sum is σ = 355486924800. Its totient is φ = 24437013120.

The previous prime is 102133031219. The next prime is 102133031249. The reversal of 102133031220 is 22130331201.

102133031220 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 330 + 312 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 102133031193 and 102133031202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 38008717 + ... + 38011403.

It is an arithmetic number, because the mean of its divisors is an integer number (925747200).

Almost surely, 2^102133031220 is an apocalyptic number.

102133031220 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 102133031220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177743462400).

102133031220 is an abundant number, since it is smaller than the sum of its proper divisors (253353893580).

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

102133031220 is a wasteful number, since it uses less digits than its factorization.

102133031220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2807 (or 2787 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 102133031220 its reverse (22130331201), we get a palindrome (124263362421).

The spelling of 102133031220 in words is "one hundred two billion, one hundred thirty-three million, thirty-one thousand, two hundred twenty".