1010020200101 has 18 divisors (see below), whose sum is σ = 1121302790118. Its totient is φ = 909009090000.

The previous prime is 1010020200083. The next prime is 1010020200131.

1010020200101 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 1000020000100 + 10000200001 = 1000010^2 + 100001^2 .

It is not a de Polignac number, because 1010020200101 - 2⁶ = 1010020200037 is a prime.

It is a super-2 number, since 2×1010020200101² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010020200131) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 111096566 + ... + 111105656.

It is an arithmetic number, because the mean of its divisors is an integer number (62294599451).

Almost surely, 2^{1010020200101} is an apocalyptic number.

1010020200101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1010020200101 is a deficient number, since it is larger than the sum of its proper divisors (111282590017).

1010020200101 is an frugal number, since it uses more digits than its factorization.

1010020200101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18305 (or 9203 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

It can be divided in two parts, 1010020 and 200101, that added together give a palindrome (1210121).

The spelling of 1010020200101 in words is "one trillion, ten billion, twenty million, two hundred thousand, one hundred one".