101120012102011 has 8 divisors (see below), whose sum is σ = 115566162733280. Its totient is φ = 86673970124928.

The previous prime is 101120012101993. The next prime is 101120012102023. The reversal of 101120012102011 is 110201210021101.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 101120012102011 - 2¹⁵ = 101120012069243 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101120012101982 and 101120012102000.

It is not an unprimeable number, because it can be changed into a prime (101120012102041) 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 7 ways as a sum of consecutive naturals, for example, 25159416 + ... + 28900453.

It is an arithmetic number, because the mean of its divisors is an integer number (14445770341660).

Almost surely, 2^{101120012102011} is an apocalyptic number.

101120012102011 is a deficient number, since it is larger than the sum of its proper divisors (14446150631269).

101120012102011 is an equidigital number, since it uses as much as digits as its factorization.

101120012102011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54327093.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101120012102011 its reverse (110201210021101), we get a palindrome (211321222123112).

The spelling of 101120012102011 in words is "one hundred one trillion, one hundred twenty billion, twelve million, one hundred two thousand, eleven".