12102101021010 has 288 divisors, whose sum is σ = 39994643336256. Its totient is φ = 2321281670400.

The previous prime is 12102101021009. The next prime is 12102101021033. The reversal of 12102101021010 is 1012010120121.

12102101021010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12102101021010² (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 304576 + ... + 4929195.

It is an arithmetic number, because the mean of its divisors is an integer number (138870289362).

Almost surely, 2^{12102101021010} is an apocalyptic number.

12102101021010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12102101021010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19997321668128).

12102101021010 is an abundant number, since it is smaller than the sum of its proper divisors (27892542315246).

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

12102101021010 is a wasteful number, since it uses less digits than its factorization.

12102101021010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5233830 (or 5233812 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12102101021010 its reverse (1012010120121), we get a palindrome (13114111141131).

The spelling of 12102101021010 in words is "twelve trillion, one hundred two billion, one hundred one million, twenty-one thousand, ten".