102102120220212 has 288 divisors, whose sum is σ = 311658634425600. Its totient is φ = 28904344995456.

The previous prime is 102102120220211. The next prime is 102102120220213. The reversal of 102102120220212 is 212022021201201.

It is a happy number.

102102120220212 is a `hidden beast` number, since 1 + 0 + 21 + 0 + 212 + 0 + 220 + 212 = 666.

It is an interprime number because it is at equal distance from previous prime (102102120220211) and next prime (102102120220213).

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 (102102120220211) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 197593978 + ... + 198110030.

It is an arithmetic number, because the mean of its divisors is an integer number (1082148036200).

Almost surely, 2^{102102120220212} is an apocalyptic number.

102102120220212 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 102102120220212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155829317212800).

102102120220212 is an abundant number, since it is smaller than the sum of its proper divisors (209556514205388).

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

102102120220212 is an equidigital number, since it uses as much as digits as its factorization.

102102120220212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516210 (or 516174 counting only the distinct ones).

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

Adding to 102102120220212 its reverse (212022021201201), we get a palindrome (314124141421413).

The spelling of 102102120220212 in words is "one hundred two trillion, one hundred two billion, one hundred twenty million, two hundred twenty thousand, two hundred twelve".