10221110040020 has 96 divisors (see below), whose sum is σ = 24798054790656. Its totient is φ = 3497424128000.

The previous prime is 10221110039999. The next prime is 10221110040041. The reversal of 10221110040020 is 2004001112201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10221110039999) and next prime (10221110040041).

It is a junction number, because it is equal to n+sod(n) for n = 10221110039977 and 10221110040004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18324245 + ... + 18873795.

It is an arithmetic number, because the mean of its divisors is an integer number (258313070736).

Almost surely, 2^{10221110040020} is an apocalyptic number.

10221110040020 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 10221110040020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12399027395328).

10221110040020 is an abundant number, since it is smaller than the sum of its proper divisors (14576944750636).

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

10221110040020 is a wasteful number, since it uses less digits than its factorization.

10221110040020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554561 (or 554559 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10221110040020 its reverse (2004001112201), we get a palindrome (12225111152221).

The spelling of 10221110040020 in words is "ten trillion, two hundred twenty-one billion, one hundred ten million, forty thousand, twenty".