102210002211012 has 96 divisors (see below), whose sum is σ = 253864310281344. Its totient is φ = 31895076864000.

The previous prime is 102210002210977. The next prime is 102210002211013. The reversal of 102210002211012 is 210112200012201.

It is a super-3 number, since 3×102210002211012³ (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102210002210982 and 102210002211000.

It is not an unprimeable number, because it can be changed into a prime (102210002211013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 274276012 + ... + 274648412.

It is an arithmetic number, because the mean of its divisors is an integer number (2644419898764).

Almost surely, 2^{102210002211012} is an apocalyptic number.

102210002211012 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 102210002211012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126932155140672).

102210002211012 is an abundant number, since it is smaller than the sum of its proper divisors (151654308070332).

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

102210002211012 is a wasteful number, since it uses less digits than its factorization.

102210002211012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379589 (or 379587 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 102210002211012 its reverse (210112200012201), we get a palindrome (312322202223213).

The spelling of 102210002211012 in words is "one hundred two trillion, two hundred ten billion, two million, two hundred eleven thousand, twelve".