10221111112410 has 256 divisors, whose sum is σ = 30034727424000. Its totient is φ = 2452815509760.

The previous prime is 10221111112409. The next prime is 10221111112427. The reversal of 10221111112410 is 1421111112201.

10221111112410 is a `hidden beast` number, since 1 + 0 + 221 + 11 + 11 + 12 + 410 = 666.

It is a super-2 number, since 2×10221111112410² (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 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 127 ways as a sum of consecutive naturals, for example, 1036724061 + ... + 1036733919.

It is an arithmetic number, because the mean of its divisors is an integer number (117323154000).

Almost surely, 2^{10221111112410} is an apocalyptic number.

10221111112410 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 10221111112410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15017363712000).

10221111112410 is an abundant number, since it is smaller than the sum of its proper divisors (19813616311590).

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

10221111112410 is a wasteful number, since it uses less digits than its factorization.

10221111112410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13378 (or 13372 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 10221111112410 its reverse (1421111112201), we get a palindrome (11642222224611).

It can be divided in two parts, 1022111 and 1112410, that added together give a square (2134521 = 1461²).

The spelling of 10221111112410 in words is "ten trillion, two hundred twenty-one billion, one hundred eleven million, one hundred twelve thousand, four hundred ten".