101211101020111 has 8 divisors (see below), whose sum is σ = 101985026611248. Its totient is φ = 100437195456000.

The previous prime is 101211101020109. The next prime is 101211101020123. The reversal of 101211101020111 is 111020101112101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101211101020111 - 2¹ = 101211101020109 is a prime.

It is a super-2 number, since 2×101211101020111² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101211101020091 and 101211101020100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101211101020511) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5218881 + ... + 15154501.

It is an arithmetic number, because the mean of its divisors is an integer number (12748128326406).

Almost surely, 2^{101211101020111} is an apocalyptic number.

101211101020111 is a deficient number, since it is larger than the sum of its proper divisors (773925591137).

101211101020111 is an equidigital number, since it uses as much as digits as its factorization.

101211101020111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10013513.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 101211101020111 its reverse (111020101112101), we get a palindrome (212231202132212).

The spelling of 101211101020111 in words is "one hundred one trillion, two hundred eleven billion, one hundred one million, twenty thousand, one hundred eleven".