102200201201020 has 384 divisors, whose sum is σ = 251625955553280. Its totient is φ = 34570886676480.

The previous prime is 102200201200987. The next prime is 102200201201071. The reversal of 102200201201020 is 20102102002201.

It is a happy number.

It is a super-2 number, since 2×102200201201020² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

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, 2718722425 + ... + 2718760015.

It is an arithmetic number, because the mean of its divisors is an integer number (655275925920).

Almost surely, 2^{102200201201020} is an apocalyptic number.

102200201201020 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 102200201201020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125812977776640).

102200201201020 is an abundant number, since it is smaller than the sum of its proper divisors (149425754352260).

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

102200201201020 is a wasteful number, since it uses less digits than its factorization.

102200201201020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37885 (or 37883 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 102200201201020 its reverse (20102102002201), we get a palindrome (122302303203221).

The spelling of 102200201201020 in words is "one hundred two trillion, two hundred billion, two hundred one million, two hundred one thousand, twenty".