10001221011020 has 24 divisors (see below), whose sum is σ = 21490995848784. Its totient is φ = 3907453790016.

The previous prime is 10001221011011. The next prime is 10001221011029. The reversal of 10001221011020 is 2011012210001.

It is an interprime number because it is at equal distance from previous prime (10001221011011) and next prime (10001221011029).

It is a super-2 number, since 2×10001221011020² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10001221010992 and 10001221011010.

It is not an unprimeable number, because it can be changed into a prime (10001221011029) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5814662519 + ... + 5814664238.

It is an arithmetic number, because the mean of its divisors is an integer number (895458160366).

Almost surely, 2^{10001221011020} is an apocalyptic number.

10001221011020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001221011020 is an abundant number, since it is smaller than the sum of its proper divisors (11489774837764).

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

10001221011020 is a wasteful number, since it uses less digits than its factorization.

10001221011020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11629326809 (or 11629326807 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10001221011020 its reverse (2011012210001), we get a palindrome (12012233221021).

The spelling of 10001221011020 in words is "ten trillion, one billion, two hundred twenty-one million, eleven thousand, twenty".