10212013121310 has 384 divisors, whose sum is σ = 36612713539584. Its totient is φ = 1905808020480.

The previous prime is 10212013121291. The next prime is 10212013121353. The reversal of 10212013121310 is 1312131021201.

10212013121310 is a `hidden beast` number, since 1 + 0 + 21 + 20 + 1 + 312 + 1 + 310 = 666.

It is a super-2 number, since 2×10212013121310² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1801527 + ... + 4865133.

It is an arithmetic number, because the mean of its divisors is an integer number (95345608176).

Almost surely, 2^{10212013121310} is an apocalyptic number.

10212013121310 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 10212013121310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18306356769792).

10212013121310 is an abundant number, since it is smaller than the sum of its proper divisors (26400700418274).

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

10212013121310 is a wasteful number, since it uses less digits than its factorization.

10212013121310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3063688 (or 3063685 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 10212013121310 its reverse (1312131021201), we get a palindrome (11524144142511).

The spelling of 10212013121310 in words is "ten trillion, two hundred twelve billion, thirteen million, one hundred twenty-one thousand, three hundred ten".