10100100201101 has 4 divisors (see below), whose sum is σ = 10100228827104. Its totient is φ = 10099971575100.

The previous prime is 10100100201053. The next prime is 10100100201133. The reversal of 10100100201101 is 10110200100101.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10100100201101 is a prime.

It is a super-2 number, since 2×10100100201101² (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 (10100100201701) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 64195145 + ... + 64352286.

It is an arithmetic number, because the mean of its divisors is an integer number (2525057206776).

Almost surely, 2^{10100100201101} is an apocalyptic number.

It is an amenable number.

10100100201101 is a deficient number, since it is larger than the sum of its proper divisors (128626003).

10100100201101 is an equidigital number, since it uses as much as digits as its factorization.

10100100201101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128626002.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 10100100201101 its reverse (10110200100101), we get a palindrome (20210300301202).

The spelling of 10100100201101 in words is "ten trillion, one hundred billion, one hundred million, two hundred one thousand, one hundred one".