1000220020101 has 24 divisors (see below), whose sum is σ = 1452272541720. Its totient is φ = 663353819136.

The previous prime is 1000220020097. The next prime is 1000220020117. The reversal of 1000220020101 is 1010200220001.

It can be written as a sum of positive squares in 4 ways, for example, as 596677457601 + 403542562500 = 772449^2 + 635250^2 .

It is not a de Polignac number, because 1000220020101 - 2² = 1000220020097 is a prime.

It is a super-2 number, since 2×1000220020101² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000220020901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1497531 + ... + 2059863.

It is an arithmetic number, because the mean of its divisors is an integer number (60511355905).

Almost surely, 2^{1000220020101} is an apocalyptic number.

It is an amenable number.

1000220020101 is a deficient number, since it is larger than the sum of its proper divisors (452052521619).

1000220020101 is a wasteful number, since it uses less digits than its factorization.

1000220020101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563365 (or 563362 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1000220020101 its reverse (1010200220001), we get a palindrome (2010420240102).

The spelling of 1000220020101 in words is "one trillion, two hundred twenty million, twenty thousand, one hundred one".