101012221111101 has 4 divisors (see below), whose sum is σ = 134682961481472. Its totient is φ = 67341480740732.

The previous prime is 101012221111057. The next prime is 101012221111117. The reversal of 101012221111101 is 101111122210101.

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 101012221111101 - 2¹¹ = 101012221109053 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101012221011101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16835370185181 + ... + 16835370185186.

It is an arithmetic number, because the mean of its divisors is an integer number (33670740370368).

Almost surely, 2^{101012221111101} is an apocalyptic number.

It is an amenable number.

101012221111101 is a deficient number, since it is larger than the sum of its proper divisors (33670740370371).

101012221111101 is an equidigital number, since it uses as much as digits as its factorization.

101012221111101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33670740370370.

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 101012221111101 its reverse (101111122210101), we get a palindrome (202123343321202).

The spelling of 101012221111101 in words is "one hundred one trillion, twelve billion, two hundred twenty-one million, one hundred eleven thousand, one hundred one".