100001002121111 has 16 divisors (see below), whose sum is σ = 123095056648704. Its totient is φ = 79110807598944.

The previous prime is 100001002121099. The next prime is 100001002121129. The reversal of 100001002121111 is 111121200100001.

It is a cyclic number.

It is not a de Polignac number, because 100001002121111 - 2⁴⁶ = 29632257943447 is a prime.

It is a super-2 number, since 2×100001002121111² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100001002121092 and 100001002121101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100001001121111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74780891 + ... + 76106396.

It is an arithmetic number, because the mean of its divisors is an integer number (7693441040544).

Almost surely, 2^{100001002121111} is an apocalyptic number.

100001002121111 is a deficient number, since it is larger than the sum of its proper divisors (23094054527593).

100001002121111 is a wasteful number, since it uses less digits than its factorization.

100001002121111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150894590.

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

Adding to 100001002121111 its reverse (111121200100001), we get a palindrome (211122202221112).

The spelling of 100001002121111 in words is "one hundred trillion, one billion, two million, one hundred twenty-one thousand, one hundred eleven".