102002202120 has 512 divisors, whose sum is σ = 384297984000. Its totient is φ = 21087019008.

The previous prime is 102002202091. The next prime is 102002202143. The reversal of 102002202120 is 21202200201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 102002202096 and 102002202105.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 158634519 + ... + 158635161.

It is an arithmetic number, because the mean of its divisors is an integer number (750582000).

Almost surely, 2^102002202120 is an apocalyptic number.

102002202120 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 102002202120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192148992000).

102002202120 is an abundant number, since it is smaller than the sum of its proper divisors (282295781880).

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

102002202120 is a wasteful number, since it uses less digits than its factorization.

102002202120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 949 (or 945 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 102002202120 its reverse (21202200201), we get a palindrome (123204402321).

The spelling of 102002202120 in words is "one hundred two billion, two million, two hundred two thousand, one hundred twenty".