101011111220121 has 8 divisors (see below), whose sum is σ = 134847960593760. Its totient is φ = 67257501329952.

The previous prime is 101011111220101. The next prime is 101011111220137. The reversal of 101011111220121 is 121022111110101.

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

It is not a de Polignac number, because 101011111220121 - 2⁴² = 96613064709017 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 101011111220121.

It is not an unprimeable number, because it can be changed into a prime (101011111220101) 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 7 ways as a sum of consecutive naturals, for example, 20809868035 + ... + 20809872888.

It is an arithmetic number, because the mean of its divisors is an integer number (16855995074220).

Almost surely, 2^{101011111220121} is an apocalyptic number.

It is an amenable number.

101011111220121 is a deficient number, since it is larger than the sum of its proper divisors (33836849373639).

101011111220121 is an equidigital number, since it uses as much as digits as its factorization.

101011111220121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41619741735.

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

Adding to 101011111220121 its reverse (121022111110101), we get a palindrome (222033222330222).

The spelling of 101011111220121 in words is "one hundred one trillion, eleven billion, one hundred eleven million, two hundred twenty thousand, one hundred twenty-one".