1011120120101 has 16 divisors (see below), whose sum is σ = 1244504553600. Its totient is φ = 799975614528.

The previous prime is 1011120119993. The next prime is 1011120120107. The reversal of 1011120120101 is 1010210211101.

It is a cyclic number.

It is not a de Polignac number, because 1011120120101 - 2²⁶ = 1011053011237 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011120120107) 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, 2257055 + ... + 2667683.

It is an arithmetic number, because the mean of its divisors is an integer number (77781534600).

Almost surely, 2^{1011120120101} is an apocalyptic number.

It is an amenable number.

1011120120101 is a deficient number, since it is larger than the sum of its proper divisors (233384433499).

1011120120101 is a wasteful number, since it uses less digits than its factorization.

1011120120101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437708.

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

Adding to 1011120120101 its reverse (1010210211101), we get a palindrome (2021330331202).

The spelling of 1011120120101 in words is "one trillion, eleven billion, one hundred twenty million, one hundred twenty thousand, one hundred one".