101012202110101 has 4 divisors (see below), whose sum is σ = 101013109780204. Its totient is φ = 101011294440000.

The previous prime is 101012202110087. The next prime is 101012202110123. The reversal of 101012202110101 is 101011202210101.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 91214456991876 + 9797745118225 = 9550626^2 + 3130135^2 .

It is a cyclic number.

It is not a de Polignac number, because 101012202110101 - 2²¹ = 101012200012949 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 (101012202114101) 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 3 ways as a sum of consecutive naturals, for example, 453668100 + ... + 453890701.

It is an arithmetic number, because the mean of its divisors is an integer number (25253277445051).

Almost surely, 2^{101012202110101} is an apocalyptic number.

It is an amenable number.

101012202110101 is a deficient number, since it is larger than the sum of its proper divisors (907670103).

101012202110101 is an equidigital number, since it uses as much as digits as its factorization.

101012202110101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907670102.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101012202110101 its reverse (101011202210101), we get a palindrome (202023404320202).

The spelling of 101012202110101 in words is "one hundred one trillion, twelve billion, two hundred two million, one hundred ten thousand, one hundred one".