101012000210101 has 8 divisors (see below), whose sum is σ = 102918055309344. Its totient is φ = 99105951344400.

The previous prime is 101012000210071. The next prime is 101012000210153.

101012000210101 is nontrivially palindromic in base 10.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101012000210101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101012000210501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43138270 + ... + 45419536.

It is an arithmetic number, because the mean of its divisors is an integer number (12864756913668).

Almost surely, 2^{101012000210101} is an apocalyptic number.

It is an amenable number.

101012000210101 is a deficient number, since it is larger than the sum of its proper divisors (1906055099243).

101012000210101 is an equidigital number, since it uses as much as digits as its factorization.

101012000210101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3116771.

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

It can be divided in two parts, 101012000 and 210101, that added together give a palindrome (101222101).

The spelling of 101012000210101 in words is "one hundred one trillion, twelve billion, two hundred ten thousand, one hundred one".