10101106001 has 8 divisors (see below), whose sum is σ = 11551615104. Its totient is φ = 8652470400.

The previous prime is 10101105977. The next prime is 10101106009. The reversal of 10101106001 is 10060110101.

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

It is not a de Polignac number, because 10101106001 - 2¹⁴ = 10101089617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10101106009) 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, 456800 + ... + 478401.

It is an arithmetic number, because the mean of its divisors is an integer number (1443951888).

Almost surely, 2^10101106001 is an apocalyptic number.

It is an amenable number.

10101106001 is a deficient number, since it is larger than the sum of its proper divisors (1450509103).

10101106001 is an equidigital number, since it uses as much as digits as its factorization.

10101106001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 936751.

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 10101106001 its reverse (10060110101), we get a palindrome (20161216102).

It can be divided in two parts, 1010 and 1106001, that added together give a palindrome (1107011).

The spelling of 10101106001 in words is "ten billion, one hundred one million, one hundred six thousand, one".