10101100101001 has 32 divisors (see below), whose sum is σ = 12486950784000. Its totient is φ = 7956847987200.

The previous prime is 10101100100983. The next prime is 10101100101041. The reversal of 10101100101001 is 10010100110101.

It is a happy number.

It is not a de Polignac number, because 10101100101001 - 2¹¹ = 10101100098953 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is not an unprimeable number, because it can be changed into a prime (10101100101041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101061151 + ... + 101161051.

It is an arithmetic number, because the mean of its divisors is an integer number (390217212000).

Almost surely, 2^{10101100101001} is an apocalyptic number.

It is an amenable number.

10101100101001 is a deficient number, since it is larger than the sum of its proper divisors (2385850682999).

10101100101001 is a wasteful number, since it uses less digits than its factorization.

10101100101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104809.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 10101100101001 its reverse (10010100110101), we get a palindrome (20111200211102).

It can be divided in two parts, 10101 and 100101001, that multiplied together give a palindrome (1011120211101).

The spelling of 10101100101001 in words is "ten trillion, one hundred one billion, one hundred million, one hundred one thousand, one".