10120011112001 has 8 divisors (see below), whose sum is σ = 11566660481664. Its totient is φ = 8673595116480.

The previous prime is 10120011111979. The next prime is 10120011112007. The reversal of 10120011112001 is 10021111002101.

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

It is not a de Polignac number, because 10120011112001 - 2¹⁸ = 10120010849857 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10120011112007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58250600 + ... + 58424073.

It is an arithmetic number, because the mean of its divisors is an integer number (1445832560208).

Almost surely, 2^{10120011112001} is an apocalyptic number.

It is an amenable number.

10120011112001 is a deficient number, since it is larger than the sum of its proper divisors (1446649369663).

10120011112001 is a wasteful number, since it uses less digits than its factorization.

10120011112001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116687071.

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

Adding to 10120011112001 its reverse (10021111002101), we get a palindrome (20141122114102).

The spelling of 10120011112001 in words is "ten trillion, one hundred twenty billion, eleven million, one hundred twelve thousand, one".