101521125101 has 4 divisors (see below), whose sum is σ = 110750318304. Its totient is φ = 92291931900.

The previous prime is 101521125061. The next prime is 101521125119.

101521125101 is nontrivially palindromic in base 10.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 101521125101 - 2²² = 101516930797 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 (101521125161) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4614596585 + ... + 4614596606.

It is an arithmetic number, because the mean of its divisors is an integer number (27687579576).

Almost surely, 2^101521125101 is an apocalyptic number.

101521125101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101521125101 is a deficient number, since it is larger than the sum of its proper divisors (9229193203).

101521125101 is an equidigital number, since it uses as much as digits as its factorization.

101521125101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9229193202.

The product of its (nonzero) digits is 100, while the sum is 20.

It can be divided in two parts, 101521 and 125101, that added together give a palindrome (226622).

The spelling of 101521125101 in words is "one hundred one billion, five hundred twenty-one million, one hundred twenty-five thousand, one hundred one".