10100120201101 has 16 divisors (see below), whose sum is σ = 11717944788096. Its totient is φ = 8526092008896.

The previous prime is 10100120201099. The next prime is 10100120201123. The reversal of 10100120201101 is 10110202100101.

It is not a de Polignac number, because 10100120201101 - 2¹ = 10100120201099 is a prime.

It is a super-2 number, since 2×10100120201101² (a number of 27 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 (10100120201401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 386686 + ... + 4511071.

It is an arithmetic number, because the mean of its divisors is an integer number (732371549256).

Almost surely, 2^{10100120201101} is an apocalyptic number.

It is an amenable number.

10100120201101 is a deficient number, since it is larger than the sum of its proper divisors (1617824586995).

10100120201101 is an equidigital number, since it uses as much as digits as its factorization.

10100120201101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4902228.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10100120201101 its reverse (10110202100101), we get a palindrome (20210322301202).

The spelling of 10100120201101 in words is "ten trillion, one hundred billion, one hundred twenty million, two hundred one thousand, one hundred one".