10101100212001 has 8 divisors (see below), whose sum is σ = 10718927271360. Its totient is φ = 9498160551792.

The previous prime is 10101100211963. The next prime is 10101100212029. The reversal of 10101100212001 is 10021200110101.

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

It is a cyclic number.

It is not a de Polignac number, because 10101100212001 - 2³⁵ = 10066740473633 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10101100212601) 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, 3721848390 + ... + 3721851103.

It is an arithmetic number, because the mean of its divisors is an integer number (1339865908920).

Almost surely, 2^{10101100212001} is an apocalyptic number.

It is an amenable number.

10101100212001 is a deficient number, since it is larger than the sum of its proper divisors (617827059359).

10101100212001 is an equidigital number, since it uses as much as digits as its factorization.

10101100212001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7443699575.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10101100212001 its reverse (10021200110101), we get a palindrome (20122300322102).

It can be divided in two parts, 10101 and 100212001, that multiplied together give a palindrome (1012241422101).

The spelling of 10101100212001 in words is "ten trillion, one hundred one billion, one hundred million, two hundred twelve thousand, one".