10011012111001 has 64 divisors (see below), whose sum is σ = 11812776466176. Its totient is φ = 8452896291840.

The previous prime is 10011012110999. The next prime is 10011012111011. The reversal of 10011012111001 is 10011121011001.

10011012111001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10011012111001 - 2¹ = 10011012110999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10011012111011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2052696375 + ... + 2052701251.

It is an arithmetic number, because the mean of its divisors is an integer number (184574632284).

Almost surely, 2^{10011012111001} is an apocalyptic number.

10011012111001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10011012111001 is a deficient number, since it is larger than the sum of its proper divisors (1801764355175).

10011012111001 is a wasteful number, since it uses less digits than its factorization.

10011012111001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6103 (or 6081 counting only the distinct ones).

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

Adding to 10011012111001 its reverse (10011121011001), we get a palindrome (20022133122002).

The spelling of 10011012111001 in words is "ten trillion, eleven billion, twelve million, one hundred eleven thousand, one".