10210021022040 has 384 divisors, whose sum is σ = 38379431301120. Its totient is φ = 2160243993600.

The previous prime is 10210021022039. The next prime is 10210021022161. The reversal of 10210021022040 is 4022012001201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2974770 + ... + 5410110.

It is an arithmetic number, because the mean of its divisors is an integer number (99946435680).

Almost surely, 2^{10210021022040} is an apocalyptic number.

10210021022040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10210021022040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19189715650560).

10210021022040 is an abundant number, since it is smaller than the sum of its proper divisors (28169410279080).

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

10210021022040 is a wasteful number, since it uses less digits than its factorization.

10210021022040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2435423 (or 2435412 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 10210021022040 its reverse (4022012001201), we get a palindrome (14232033023241).

The spelling of 10210021022040 in words is "ten trillion, two hundred ten billion, twenty-one million, twenty-two thousand, forty".