10100110010001 has 8 divisors (see below), whose sum is σ = 14691069105504. Its totient is φ = 6121278793920.

The previous prime is 10100110009991. The next prime is 10100110010009. The reversal of 10100110010001 is 10001001100101.

10100110010001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 10100110010001 - 2²¹ = 10100107912849 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10100110010009) 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, 153031969816 + ... + 153031969881.

It is an arithmetic number, because the mean of its divisors is an integer number (1836383638188).

Almost surely, 2^{10100110010001} is an apocalyptic number.

10100110010001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10100110010001 is a deficient number, since it is larger than the sum of its proper divisors (4590959095503).

10100110010001 is a wasteful number, since it uses less digits than its factorization.

10100110010001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306063939711.

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

Adding to 10100110010001 its reverse (10001001100101), we get a palindrome (20101111110102).

The spelling of 10100110010001 in words is "ten trillion, one hundred billion, one hundred ten million, ten thousand, one".