102001301220 has 192 divisors, whose sum is σ = 355748843520. Its totient is φ = 21261768192.

The previous prime is 102001301191. The next prime is 102001301251. The reversal of 102001301220 is 22103100201.

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 = 102001301196 and 102001301205.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 340641 + ... + 565719.

It is an arithmetic number, because the mean of its divisors is an integer number (1852858560).

Almost surely, 2^102001301220 is an apocalyptic number.

102001301220 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 102001301220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177874421760).

102001301220 is an abundant number, since it is smaller than the sum of its proper divisors (253747542300).

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

102001301220 is a wasteful number, since it uses less digits than its factorization.

102001301220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225194 (or 225192 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 102001301220 its reverse (22103100201), we get a palindrome (124104401421).

The spelling of 102001301220 in words is "one hundred two billion, one million, three hundred one thousand, two hundred twenty".