101001121112211 has 16 divisors (see below), whose sum is σ = 135044164869120. Its totient is φ = 67146081503040.

The previous prime is 101001121112189. The next prime is 101001121112233. The reversal of 101001121112211 is 112211121100101.

It is an interprime number because it is at equal distance from previous prime (101001121112189) and next prime (101001121112233).

It is not a de Polignac number, because 101001121112211 - 2¹³ = 101001121104019 is a prime.

It is a super-3 number, since 3×101001121112211³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (101001121112911) 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, 312891351 + ... + 313213983.

It is an arithmetic number, because the mean of its divisors is an integer number (8440260304320).

Almost surely, 2^{101001121112211} is an apocalyptic number.

101001121112211 is a deficient number, since it is larger than the sum of its proper divisors (34043043756909).

101001121112211 is a wasteful number, since it uses less digits than its factorization.

101001121112211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613666.

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

Adding to 101001121112211 its reverse (112211121100101), we get a palindrome (213212242212312).

The spelling of 101001121112211 in words is "one hundred one trillion, one billion, one hundred twenty-one million, one hundred twelve thousand, two hundred eleven".