100202110202120 has 64 divisors (see below), whose sum is σ = 225810246960000. Its totient is φ = 40017655093248.

The previous prime is 100202110202093. The next prime is 100202110202123. The reversal of 100202110202120 is 21202011202001.

It is a junction number, because it is equal to n+sod(n) for n = 100202110202095 and 100202110202104.

It is not an unprimeable number, because it can be changed into a prime (100202110202123) 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, 306697811 + ... + 307024349.

It is an arithmetic number, because the mean of its divisors is an integer number (3528285108750).

Almost surely, 2^{100202110202120} is an apocalyptic number.

100202110202120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100202110202120 is an abundant number, since it is smaller than the sum of its proper divisors (125608136757880).

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

100202110202120 is a wasteful number, since it uses less digits than its factorization.

100202110202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338622 (or 338618 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 100202110202120 its reverse (21202011202001), we get a palindrome (121404121404121).

The spelling of 100202110202120 in words is "one hundred trillion, two hundred two billion, one hundred ten million, two hundred two thousand, one hundred twenty".