10100101001001 has 8 divisors (see below), whose sum is σ = 14691056001504. Its totient is φ = 6121273333920.

The previous prime is 10100101000903. The next prime is 10100101001021. The reversal of 10100101001001 is 10010010100101.

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

It is not a de Polignac number, because 10100101001001 - 2¹³ = 10100100992809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10100101001021) 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, 153031833316 + ... + 153031833381.

It is an arithmetic number, because the mean of its divisors is an integer number (1836382000188).

Almost surely, 2^{10100101001001} is an apocalyptic number.

10100101001001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10100101001001 is a deficient number, since it is larger than the sum of its proper divisors (4590955000503).

10100101001001 is a wasteful number, since it uses less digits than its factorization.

10100101001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306063666711.

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

Adding to 10100101001001 its reverse (10010010100101), we get a palindrome (20110111101102).

It can be divided in two parts, 1010010100100 and 1, that added together give a palindrome (1010010100101).

The spelling of 10100101001001 in words is "ten trillion, one hundred billion, one hundred one million, one thousand, one".