10120012012011 has 8 divisors (see below), whose sum is σ = 14720017472064. Its totient is φ = 6133340613320.

The previous prime is 10120012012009. The next prime is 10120012012013. The reversal of 10120012012011 is 11021021002101.

It is an interprime number because it is at equal distance from previous prime (10120012012009) and next prime (10120012012013).

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 10120012012011 - 2¹ = 10120012012009 is a prime.

It is a super-3 number, since 3×10120012012011³ (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10120012012013) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 153333515301 + ... + 153333515366.

It is an arithmetic number, because the mean of its divisors is an integer number (1840002184008).

Almost surely, 2^{10120012012011} is an apocalyptic number.

10120012012011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10120012012011 is a deficient number, since it is larger than the sum of its proper divisors (4600005460053).

10120012012011 is a wasteful number, since it uses less digits than its factorization.

10120012012011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306667030681.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10120012012011 its reverse (11021021002101), we get a palindrome (21141033014112).

The spelling of 10120012012011 in words is "ten trillion, one hundred twenty billion, twelve million, twelve thousand, eleven".