10111002002101 has 32 divisors (see below), whose sum is σ = 14374176461568. Its totient is φ = 6844845911040.

The previous prime is 10111002002069. The next prime is 10111002002161. The reversal of 10111002002101 is 10120020011101.

It is a cyclic number.

It is not a de Polignac number, because 10111002002101 - 2⁵ = 10111002002069 is a prime.

It is a super-2 number, since 2×10111002002101² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111002002161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 297068310 + ... + 297102343.

It is an arithmetic number, because the mean of its divisors is an integer number (449193014424).

Almost surely, 2^{10111002002101} is an apocalyptic number.

10111002002101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10111002002101 is a deficient number, since it is larger than the sum of its proper divisors (4263174459467).

10111002002101 is a wasteful number, since it uses less digits than its factorization.

10111002002101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594170701.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10111002002101 its reverse (10120020011101), we get a palindrome (20231022013202).

The spelling of 10111002002101 in words is "ten trillion, one hundred eleven billion, two million, two thousand, one hundred one".