100112102021 has 16 divisors (see below), whose sum is σ = 104513034240. Its totient is φ = 95778385920.

The previous prime is 100112102011. The next prime is 100112102063. The reversal of 100112102021 is 120201211001.

It is a cyclic number.

It is not a de Polignac number, because 100112102021 - 2¹⁰ = 100112100997 is a prime.

It is a super-2 number, since 2×100112102021² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100112101993 and 100112102011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100112102011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1388360 + ... + 1458686.

It is an arithmetic number, because the mean of its divisors is an integer number (6532064640).

Almost surely, 2^100112102021 is an apocalyptic number.

It is an amenable number.

100112102021 is a deficient number, since it is larger than the sum of its proper divisors (4400932219).

100112102021 is a wasteful number, since it uses less digits than its factorization.

100112102021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70804.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100112102021 its reverse (120201211001), we get a palindrome (220313313022).

The spelling of 100112102021 in words is "one hundred billion, one hundred twelve million, one hundred two thousand, twenty-one".