102201120202212 has 192 divisors, whose sum is σ = 272297623449600. Its totient is φ = 33133646367360.

The previous prime is 102201120202201. The next prime is 102201120202249. The reversal of 102201120202212 is 212202021102201.

It is a happy number.

102201120202212 is a `hidden beast` number, since 1 + 0 + 220 + 11 + 20 + 202 + 212 = 666.

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

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, 1913457787 + ... + 1913511197.

It is an arithmetic number, because the mean of its divisors is an integer number (1418216788800).

Almost surely, 2^{102201120202212} is an apocalyptic number.

102201120202212 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 102201120202212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136148811724800).

102201120202212 is an abundant number, since it is smaller than the sum of its proper divisors (170096503247388).

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

102201120202212 is a wasteful number, since it uses less digits than its factorization.

102201120202212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55823 (or 55815 counting only the distinct ones).

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

Adding to 102201120202212 its reverse (212202021102201), we get a palindrome (314403141304413).

The spelling of 102201120202212 in words is "one hundred two trillion, two hundred one billion, one hundred twenty million, two hundred two thousand, two hundred twelve".