10001021011220 has 48 divisors (see below), whose sum is σ = 21011163642000. Its totient is φ = 3998690826240.

The previous prime is 10001021011207. The next prime is 10001021011243. The reversal of 10001021011220 is 2211012010001.

It can be written as a sum of positive squares in 8 ways, for example, as 1200519045124 + 8800501966096 = 1095682^2 + 2966564^2 .

It is a super-2 number, since 2×10001021011220² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 762906026 + ... + 762919134.

It is an arithmetic number, because the mean of its divisors is an integer number (437732575875).

Almost surely, 2^{10001021011220} is an apocalyptic number.

10001021011220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001021011220 is an abundant number, since it is smaller than the sum of its proper divisors (11010142630780).

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

10001021011220 is a wasteful number, since it uses less digits than its factorization.

10001021011220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26588 (or 26586 counting only the distinct ones).

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

Adding to 10001021011220 its reverse (2211012010001), we get a palindrome (12212033021221).

The spelling of 10001021011220 in words is "ten trillion, one billion, twenty-one million, eleven thousand, two hundred twenty".