101001202100101 has 8 divisors (see below), whose sum is σ = 103846434427008. Its totient is φ = 98174150172000.

The previous prime is 101001202100089. The next prime is 101001202100131.

101001202100101 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 not a de Polignac number, because 101001202100101 - 2²³ = 101001193711493 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 (101001202100131) 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, 4545088435 + ... + 4545110656.

It is an arithmetic number, because the mean of its divisors is an integer number (12980804303376).

Almost surely, 2^{101001202100101} is an apocalyptic number.

It is an amenable number.

101001202100101 is a deficient number, since it is larger than the sum of its proper divisors (2845232326907).

101001202100101 is an equidigital number, since it uses as much as digits as its factorization.

101001202100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9090199403.

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

It can be divided in two parts, 10100120 and 2100101, that added together give a palindrome (12200221).

The spelling of 101001202100101 in words is "one hundred one trillion, one billion, two hundred two million, one hundred thousand, one hundred one".