10122102202120 has 64 divisors (see below), whose sum is σ = 22835050608240. Its totient is φ = 4038131328000.

The previous prime is 10122102202117. The next prime is 10122102202129. The reversal of 10122102202120 is 2120220122101.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 6651787759236 + 3470314442884 = 2579106^2 + 1862878^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10122102202094 and 10122102202103.

It is not an unprimeable number, because it can be changed into a prime (10122102202129) 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, 22800994 + ... + 23240686.

Almost surely, 2^{10122102202120} is an apocalyptic number.

10122102202120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10122102202120 is an abundant number, since it is smaller than the sum of its proper divisors (12712948406120).

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

10122102202120 is a wasteful number, since it uses less digits than its factorization.

10122102202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441226 (or 441222 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10122102202120 its reverse (2120220122101), we get a palindrome (12242322324221).

The spelling of 10122102202120 in words is "ten trillion, one hundred twenty-two billion, one hundred two million, two hundred two thousand, one hundred twenty".