10200010201101 has 48 divisors (see below), whose sum is σ = 16867840129920. Its totient is φ = 5818290998400.

The previous prime is 10200010201057. The next prime is 10200010201151. The reversal of 10200010201101 is 10110201000201.

It is a happy number.

It is not a de Polignac number, because 10200010201101 - 2¹⁸ = 10200009938957 is a prime.

It is a super-2 number, since 2×10200010201101² (a number of 27 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 (10200010201151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 191310835 + ... + 191364143.

It is an arithmetic number, because the mean of its divisors is an integer number (351413336040).

Almost surely, 2^{10200010201101} is an apocalyptic number.

It is an amenable number.

10200010201101 is a deficient number, since it is larger than the sum of its proper divisors (6667829928819).

10200010201101 is a wasteful number, since it uses less digits than its factorization.

10200010201101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58626 (or 58623 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10200010201101 its reverse (10110201000201), we get a palindrome (20310211201302).

The spelling of 10200010201101 in words is "ten trillion, two hundred billion, ten million, two hundred one thousand, one hundred one".