101120000111011 has 64 divisors (see below), whose sum is σ = 122258775859200. Its totient is φ = 81765786009600.

The previous prime is 101120000111003. The next prime is 101120000111023. The reversal of 101120000111011 is 110111000021101.

It is not a de Polignac number, because 101120000111011 - 2³ = 101120000111003 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101120000141011) 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 63 ways as a sum of consecutive naturals, for example, 4504822390 + ... + 4504844836.

It is an arithmetic number, because the mean of its divisors is an integer number (1910293372800).

Almost surely, 2^{101120000111011} is an apocalyptic number.

101120000111011 is a deficient number, since it is larger than the sum of its proper divisors (21138775748189).

101120000111011 is a wasteful number, since it uses less digits than its factorization.

101120000111011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23644.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 101120000111011 its reverse (110111000021101), we get a palindrome (211231000132112).

The spelling of 101120000111011 in words is "one hundred one trillion, one hundred twenty billion, one hundred eleven thousand, eleven".