10221411024 has 240 divisors, whose sum is σ = 33938274240. Its totient is φ = 2836131840.

The previous prime is 10221411001. The next prime is 10221411037. The reversal of 10221411024 is 42011412201.

10221411024 is a `hidden beast` number, since 10 + 221 + 411 + 0 + 24 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 10221410988 and 10221411006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 991207 + ... + 1001465.

It is an arithmetic number, because the mean of its divisors is an integer number (141409476).

Almost surely, 2^10221411024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10221411024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16969137120).

10221411024 is an abundant number, since it is smaller than the sum of its proper divisors (23716863216).

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

10221411024 is a wasteful number, since it uses less digits than its factorization.

10221411024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10338 (or 10329 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10221411024 its reverse (42011412201), we get a palindrome (52232823225).

It can be divided in two parts, 1022141 and 1024, that added together give a triangular number (1023165 = T₁₄₃₀).

The spelling of 10221411024 in words is "ten billion, two hundred twenty-one million, four hundred eleven thousand, twenty-four".