102220201120212 has 576 divisors, whose sum is σ = 315496650792960. Its totient is φ = 27274747788288.

The previous prime is 102220201120211. The next prime is 102220201120243. The reversal of 102220201120212 is 212021102022201.

It is a happy number.

102220201120212 is a `hidden beast` number, since 10 + 2 + 220 + 201 + 1 + 20 + 212 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102220201120211) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 87893551543 + ... + 87893552705.

It is an arithmetic number, because the mean of its divisors is an integer number (547737240960).

Almost surely, 2^{102220201120212} is an apocalyptic number.

102220201120212 is a gapful number since it is divisible by the number (12) 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 102220201120212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157748325396480).

102220201120212 is an abundant number, since it is smaller than the sum of its proper divisors (213276449672748).

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

102220201120212 is a wasteful number, since it uses less digits than its factorization.

102220201120212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2412 (or 2407 counting only the distinct ones).

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

Adding to 102220201120212 its reverse (212021102022201), we get a palindrome (314241303142413).

The spelling of 102220201120212 in words is "one hundred two trillion, two hundred twenty billion, two hundred one million, one hundred twenty thousand, two hundred twelve".