102201200002020 has 384 divisors, whose sum is σ = 334209233240064. Its totient is φ = 22851200526336.

The previous prime is 102201200002019. The next prime is 102201200002039. The reversal of 102201200002020 is 20200002102201.

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 = 102201200001987 and 102201200002005.

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, 10800079809 + ... + 10800089271.

It is an arithmetic number, because the mean of its divisors is an integer number (870336544896).

Almost surely, 2^{102201200002020} is an apocalyptic number.

102201200002020 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 102201200002020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167104616620032).

102201200002020 is an abundant number, since it is smaller than the sum of its proper divisors (232008033238044).

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

102201200002020 is a wasteful number, since it uses less digits than its factorization.

102201200002020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10931 (or 10929 counting only the distinct ones).

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

Adding to 102201200002020 its reverse (20200002102201), we get a palindrome (122401202104221).

The spelling of 102201200002020 in words is "one hundred two trillion, two hundred one billion, two hundred million, two thousand, twenty".