101012120001111 has 32 divisors (see below), whose sum is σ = 148383414406656. Its totient is φ = 60612526800000.

The previous prime is 101012120001077. The next prime is 101012120001151. The reversal of 101012120001111 is 111100021210101.

It is not a de Polignac number, because 101012120001111 - 2²⁵ = 101012086446679 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101012120001151) 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 31 ways as a sum of consecutive naturals, for example, 332818350 + ... + 333121716.

It is an arithmetic number, because the mean of its divisors is an integer number (4636981700208).

Almost surely, 2^{101012120001111} is an apocalyptic number.

101012120001111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101012120001111 is a deficient number, since it is larger than the sum of its proper divisors (47371294405545).

101012120001111 is a wasteful number, since it uses less digits than its factorization.

101012120001111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403383.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 101012120001111 its reverse (111100021210101), we get a palindrome (212112141211212).

It can be divided in two parts, 1010 and 12120001111, that added together give a palindrome (12120002121).

The spelling of 101012120001111 in words is "one hundred one trillion, twelve billion, one hundred twenty million, one thousand, one hundred eleven".