10000120201101 has 32 divisors (see below), whose sum is σ = 14855977478400. Its totient is φ = 6648323235840.

The previous prime is 10000120201033. The next prime is 10000120201103. The reversal of 10000120201101 is 10110202100001.

It is a happy number.

It is not a de Polignac number, because 10000120201101 - 2²⁹ = 9999583330189 is a prime.

It is a super-2 number, since 2×10000120201101² (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 (10000120201103) 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 31 ways as a sum of consecutive naturals, for example, 18257061 + ... + 18796821.

It is an arithmetic number, because the mean of its divisors is an integer number (464249296200).

Almost surely, 2^{10000120201101} is an apocalyptic number.

It is an amenable number.

10000120201101 is a deficient number, since it is larger than the sum of its proper divisors (4855857277299).

10000120201101 is a wasteful number, since it uses less digits than its factorization.

10000120201101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541666 (or 541660 counting only the distinct ones).

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

Adding to 10000120201101 its reverse (10110202100001), we get a palindrome (20110322301102).

The spelling of 10000120201101 in words is "ten trillion, one hundred twenty million, two hundred one thousand, one hundred one".