1010020002201 has 48 divisors (see below), whose sum is σ = 1688721615360. Its totient is φ = 569753533440.

The previous prime is 1010020002191. The next prime is 1010020002203. The reversal of 1010020002201 is 1022000200101.

1010020002201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1010020002201 - 2¹⁸ = 1010019740057 is a prime.

It is a super-2 number, since 2×1010020002201² (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 not an unprimeable number, because it can be changed into a prime (1010020002203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38772741 + ... + 38798781.

It is an arithmetic number, because the mean of its divisors is an integer number (35181700320).

Almost surely, 2^{1010020002201} is an apocalyptic number.

It is an amenable number.

1010020002201 is a deficient number, since it is larger than the sum of its proper divisors (678701613159).

1010020002201 is a wasteful number, since it uses less digits than its factorization.

1010020002201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33926 (or 33923 counting only the distinct ones).

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

Adding to 1010020002201 its reverse (1022000200101), we get a palindrome (2032020202302).

It can be divided in two parts, 10100 and 20002201, that added together give a triangular number (20012301 = T₆₃₂₆).

The spelling of 1010020002201 in words is "one trillion, ten billion, twenty million, two thousand, two hundred one".