101012220111101 has 16 divisors (see below), whose sum is σ = 115185018042864. Its totient is φ = 87754432057344.

The previous prime is 101012220111073. The next prime is 101012220111133. The reversal of 101012220111101 is 101111022210101.

It can be written as a sum of positive squares in 8 ways, for example, as 46866552187225 + 54145667923876 = 6845915^2 + 7358374^2 .

It is not a de Polignac number, because 101012220111101 - 2¹⁰ = 101012220110077 is a prime.

It is a super-2 number, since 2×101012220111101² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101012220111001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 287696 + ... + 14216441.

It is an arithmetic number, because the mean of its divisors is an integer number (7199063627679).

Almost surely, 2^{101012220111101} is an apocalyptic number.

It is an amenable number.

101012220111101 is a deficient number, since it is larger than the sum of its proper divisors (14172797931763).

101012220111101 is a wasteful number, since it uses less digits than its factorization.

101012220111101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14535680.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 101012220111101 its reverse (101111022210101), we get a palindrome (202123242321202).

The spelling of 101012220111101 in words is "one hundred one trillion, twelve billion, two hundred twenty million, one hundred eleven thousand, one hundred one".