101120011222101 has 16 divisors (see below), whose sum is σ = 138513213552384. Its totient is φ = 65571195052224.

The previous prime is 101120011222091. The next prime is 101120011222123. The reversal of 101120011222101 is 101222110021101.

It is a happy number.

It is not a de Polignac number, because 101120011222101 - 2⁷ = 101120011221973 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101120011222801) 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 15 ways as a sum of consecutive naturals, for example, 139662141 + ... + 140384306.

It is an arithmetic number, because the mean of its divisors is an integer number (8657075847024).

Almost surely, 2^{101120011222101} is an apocalyptic number.

It is an amenable number.

101120011222101 is a deficient number, since it is larger than the sum of its proper divisors (37393202330283).

101120011222101 is a wasteful number, since it uses less digits than its factorization.

101120011222101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280049740.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 101120011222101 its reverse (101222110021101), we get a palindrome (202342121243202).

The spelling of 101120011222101 in words is "one hundred one trillion, one hundred twenty billion, eleven million, two hundred twenty-two thousand, one hundred one".