10100010201101 has 16 divisors (see below), whose sum is σ = 10302553842048. Its totient is φ = 9899543496000.

The previous prime is 10100010201097. The next prime is 10100010201191. The reversal of 10100010201101 is 10110201000101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10100010201101 - 2² = 10100010201097 is a prime.

It is a super-2 number, since 2×10100010201101² (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 (10100010201191) 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, 30597506 + ... + 30925836.

It is an arithmetic number, because the mean of its divisors is an integer number (643909615128).

Almost surely, 2^{10100010201101} is an apocalyptic number.

It is an amenable number.

10100010201101 is a deficient number, since it is larger than the sum of its proper divisors (202543640947).

10100010201101 is a wasteful number, since it uses less digits than its factorization.

10100010201101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331492.

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

Adding to 10100010201101 its reverse (10110201000101), we get a palindrome (20210211201202).

The spelling of 10100010201101 in words is "ten trillion, one hundred billion, ten million, two hundred one thousand, one hundred one".