10021213213110 has 256 divisors, whose sum is σ = 29417483888640. Its totient is φ = 2427407136000.

The previous prime is 10021213213073. The next prime is 10021213213157. The reversal of 10021213213110 is 1131231212001.

10021213213110 is a `hidden beast` number, since 10 + 0 + 2 + 1 + 21 + 321 + 311 + 0 = 666.

It is a super-2 number, since 2×10021213213110² (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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 468248410 + ... + 468269810.

It is an arithmetic number, because the mean of its divisors is an integer number (114912046440).

Almost surely, 2^{10021213213110} is an apocalyptic number.

10021213213110 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 10021213213110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14708741944320).

10021213213110 is an abundant number, since it is smaller than the sum of its proper divisors (19396270675530).

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

10021213213110 is a wasteful number, since it uses less digits than its factorization.

10021213213110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22753 (or 22725 counting only the distinct ones).

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

Adding to 10021213213110 its reverse (1131231212001), we get a palindrome (11152444425111).

The spelling of 10021213213110 in words is "ten trillion, twenty-one billion, two hundred thirteen million, two hundred thirteen thousand, one hundred ten".