101000101220111 has 8 divisors (see below), whose sum is σ = 101028099686400. Its totient is φ = 100972106595360.

The previous prime is 101000101220107. The next prime is 101000101220147. The reversal of 101000101220111 is 111022101000101.

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 101000101220111 - 2² = 101000101220107 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101000101220092 and 101000101220101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101000101220191) 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 7 ways as a sum of consecutive naturals, for example, 52034525 + ... + 53940633.

It is an arithmetic number, because the mean of its divisors is an integer number (12628512460800).

Almost surely, 2^{101000101220111} is an apocalyptic number.

101000101220111 is a deficient number, since it is larger than the sum of its proper divisors (27998466289).

101000101220111 is an equidigital number, since it uses as much as digits as its factorization.

101000101220111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1920769.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101000101220111 its reverse (111022101000101), we get a palindrome (212022202220212).

The spelling of 101000101220111 in words is "one hundred one trillion, one hundred one million, two hundred twenty thousand, one hundred eleven".