100122210011120 has 160 divisors (see below), whose sum is σ = 272567702496960. Its totient is φ = 33797021368320.

The previous prime is 100122210011059. The next prime is 100122210011129. The reversal of 100122210011120 is 21110012221001.

It is a junction number, because it is equal to n+sod(n) for n = 100122210011095 and 100122210011104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100122210011129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44748065 + ... + 46932224.

It is an arithmetic number, because the mean of its divisors is an integer number (1703548140606).

Almost surely, 2^{100122210011120} is an apocalyptic number.

100122210011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100122210011120 is an abundant number, since it is smaller than the sum of its proper divisors (172445492485840).

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

100122210011120 is a wasteful number, since it uses less digits than its factorization.

100122210011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91680403 (or 91680397 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100122210011120 its reverse (21110012221001), we get a palindrome (121232222232121).

The spelling of 100122210011120 in words is "one hundred trillion, one hundred twenty-two billion, two hundred ten million, eleven thousand, one hundred twenty".