102212201100020 has 192 divisors, whose sum is σ = 257654786457600. Its totient is φ = 33644647296000.

The previous prime is 102212201100011. The next prime is 102212201100049. The reversal of 102212201100020 is 20001102212201.

It is a junction number, because it is equal to n+sod(n) for n = 102212201099968 and 102212201100004.

It is a congruent number.

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, 5244440 + ... + 15229200.

It is an arithmetic number, because the mean of its divisors is an integer number (1341952012800).

Almost surely, 2^{102212201100020} is an apocalyptic number.

102212201100020 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 102212201100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128827393228800).

102212201100020 is an abundant number, since it is smaller than the sum of its proper divisors (155442585357580).

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

102212201100020 is a wasteful number, since it uses less digits than its factorization.

102212201100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9984910 (or 9984908 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102212201100020 its reverse (20001102212201), we get a palindrome (122213303312221).

The spelling of 102212201100020 in words is "one hundred two trillion, two hundred twelve billion, two hundred one million, one hundred thousand, twenty".