102201122212020 has 288 divisors, whose sum is σ = 336123082189440. Its totient is φ = 24986576010240.

The previous prime is 102201122211997. The next prime is 102201122212037. The reversal of 102201122212020 is 20212221102201.

It is a happy number.

102201122212020 is a `hidden beast` number, since 10 + 220 + 1 + 12 + 221 + 202 + 0 = 666.

102201122212020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 = 102201122211984 and 102201122212002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 903330855 + ... + 903443985.

It is an arithmetic number, because the mean of its divisors is an integer number (1167094035380).

Almost surely, 2^{102201122212020} is an apocalyptic number.

102201122212020 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 102201122212020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168061541094720).

102201122212020 is an abundant number, since it is smaller than the sum of its proper divisors (233921959977420).

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

102201122212020 is a wasteful number, since it uses less digits than its factorization.

102201122212020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115775 (or 115770 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 102201122212020 its reverse (20212221102201), we get a palindrome (122413343314221).

The spelling of 102201122212020 in words is "one hundred two trillion, two hundred one billion, one hundred twenty-two million, two hundred twelve thousand, twenty".