100112122010 has 32 divisors (see below), whose sum is σ = 181195920000. Its totient is φ = 39824136000.

The previous prime is 100112121997. The next prime is 100112122013. The reversal of 100112122010 is 10221211001.

It is a junction number, because it is equal to n+sod(n) for n = 100112121982 and 100112122000.

It is not an unprimeable number, because it can be changed into a prime (100112122013) 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, 4468316 + ... + 4490664.

It is an arithmetic number, because the mean of its divisors is an integer number (5662372500).

Almost surely, 2^100112122010 is an apocalyptic number.

100112122010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100112122010 is a deficient number, since it is larger than the sum of its proper divisors (81083797990).

100112122010 is a wasteful number, since it uses less digits than its factorization.

100112122010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24806.

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

Adding to 100112122010 its reverse (10221211001), we get a palindrome (110333333011).

The spelling of 100112122010 in words is "one hundred billion, one hundred twelve million, one hundred twenty-two thousand, ten".