10100001002111 has 4 divisors (see below), whose sum is σ = 10242254537424. Its totient is φ = 9957747466800.

The previous prime is 10100001002099. The next prime is 10100001002149. The reversal of 10100001002111 is 11120010000101.

It is a happy number.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 10100001002111 - 2³⁴ = 10082821132927 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100001002011) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 71126767550 + ... + 71126767691.

It is an arithmetic number, because the mean of its divisors is an integer number (2560563634356).

Almost surely, 2^{10100001002111} is an apocalyptic number.

10100001002111 is a deficient number, since it is larger than the sum of its proper divisors (142253535313).

10100001002111 is an equidigital number, since it uses as much as digits as its factorization.

10100001002111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142253535312.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 10100001002111 its reverse (11120010000101), we get a palindrome (21220011002212).

The spelling of 10100001002111 in words is "ten trillion, one hundred billion, one million, two thousand, one hundred eleven".