10100112121111 has 16 divisors (see below), whose sum is σ = 10146759253344. Its totient is φ = 10053554776704.

The previous prime is 10100112121103. The next prime is 10100112121129. The reversal of 10100112121111 is 11112121100101.

It is a cyclic number.

It is not a de Polignac number, because 10100112121111 - 2³ = 10100112121103 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10100112121091 and 10100112121100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100112121511) 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, 1733326780 + ... + 1733332606.

It is an arithmetic number, because the mean of its divisors is an integer number (634172453334).

Almost surely, 2^{10100112121111} is an apocalyptic number.

10100112121111 is a deficient number, since it is larger than the sum of its proper divisors (46647132233).

10100112121111 is a wasteful number, since it uses less digits than its factorization.

10100112121111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12210.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 10100112121111 its reverse (11112121100101), we get a palindrome (21212233221212).

It can be divided in two parts, 10100 and 112121111, that added together give a palindrome (112131211).

The spelling of 10100112121111 in words is "ten trillion, one hundred billion, one hundred twelve million, one hundred twenty-one thousand, one hundred eleven".