100122020012112 has 40 divisors (see below), whose sum is σ = 295598344798656. Its totient is φ = 28606291431936.

The previous prime is 100122020012111. The next prime is 100122020012159. The reversal of 100122020012112 is 211210020221001.

It is a junction number, because it is equal to n+sod(n) for n = 100122020012091 and 100122020012100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100122020012111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 148991100873 + ... + 148991101544.

Almost surely, 2^{100122020012112} is an apocalyptic number.

100122020012112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100122020012112 is an abundant number, since it is smaller than the sum of its proper divisors (195476324786544).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100122020012112 is a wasteful number, since it uses less digits than its factorization.

100122020012112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297982202435 (or 297982202429 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 100122020012112 its reverse (211210020221001), we get a palindrome (311332040233113).

The spelling of 100122020012112 in words is "one hundred trillion, one hundred twenty-two billion, twenty million, twelve thousand, one hundred twelve".