101002202011101 has 16 divisors (see below), whose sum is σ = 142591627450944. Its totient is φ = 63373804702464.

The previous prime is 101002202011049. The next prime is 101002202011129. The reversal of 101002202011101 is 101110202200101.

It is not a de Polignac number, because 101002202011101 - 2²¹ = 101002199913949 is a prime.

It is a super-2 number, since 2×101002202011101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101002202011141) 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 15 ways as a sum of consecutive naturals, for example, 28527786 + ... + 31872228.

It is an arithmetic number, because the mean of its divisors is an integer number (8911976715684).

Almost surely, 2^{101002202011101} is an apocalyptic number.

It is an amenable number.

101002202011101 is a deficient number, since it is larger than the sum of its proper divisors (41589425439843).

101002202011101 is a wasteful number, since it uses less digits than its factorization.

101002202011101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3936620.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101002202011101 its reverse (101110202200101), we get a palindrome (202112404211202).

The spelling of 101002202011101 in words is "one hundred one trillion, two billion, two hundred two million, eleven thousand, one hundred one".