101101212211101 has 32 divisors (see below), whose sum is σ = 138604153798656. Its totient is φ = 65511812016000.

The previous prime is 101101212211099. The next prime is 101101212211133. The reversal of 101101212211101 is 101112212101101.

It is not a de Polignac number, because 101101212211101 - 2¹ = 101101212211099 is a prime.

It is a super-2 number, since 2×101101212211101² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101101212211151) 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 31 ways as a sum of consecutive naturals, for example, 1497517936 + ... + 1497585446.

It is an arithmetic number, because the mean of its divisors is an integer number (4331379806208).

Almost surely, 2^{101101212211101} is an apocalyptic number.

It is an amenable number.

101101212211101 is a deficient number, since it is larger than the sum of its proper divisors (37502941587555).

101101212211101 is a wasteful number, since it uses less digits than its factorization.

101101212211101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112753.

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

Adding to 101101212211101 its reverse (101112212101101), we get a palindrome (202213424312202).

The spelling of 101101212211101 in words is "one hundred one trillion, one hundred one billion, two hundred twelve million, two hundred eleven thousand, one hundred one".