10101101000001 has 8 divisors (see below), whose sum is σ = 14692510545504. Its totient is φ = 6121879393920.

The previous prime is 10101100999961. The next prime is 10101101000021. The reversal of 10101101000001 is 10000010110101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10101101000001 - 2⁹ = 10101100999489 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10101101000021) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 153046984816 + ... + 153046984881.

It is an arithmetic number, because the mean of its divisors is an integer number (1836563818188).

Almost surely, 2^{10101101000001} is an apocalyptic number.

10101101000001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10101101000001 is a deficient number, since it is larger than the sum of its proper divisors (4591409545503).

10101101000001 is a wasteful number, since it uses less digits than its factorization.

10101101000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306093969711.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 10101101000001 its reverse (10000010110101), we get a palindrome (20101111110102).

It can be divided in two parts, 1010 and 1101000001, that added together give a palindrome (1101001011).

The spelling of 10101101000001 in words is "ten trillion, one hundred one billion, one hundred one million, one", and thus it is an aban number.