10102222010120 has 64 divisors (see below), whose sum is σ = 22820180451120. Its totient is φ = 4024867037184.

The previous prime is 10102222010081. The next prime is 10102222010159. The reversal of 10102222010120 is 2101022220101.

It is an interprime number because it is at equal distance from previous prime (10102222010081) and next prime (10102222010159).

It can be written as a sum of positive squares in 8 ways, for example, as 2491719076324 + 7610502933796 = 1578518^2 + 2758714^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10102222010095 and 10102222010104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31228724 + ... + 31550556.

Almost surely, 2^{10102222010120} is an apocalyptic number.

10102222010120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10102222010120 is an abundant number, since it is smaller than the sum of its proper divisors (12717958441000).

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

10102222010120 is a wasteful number, since it uses less digits than its factorization.

10102222010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324954 (or 324950 counting only the distinct ones).

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

Adding to 10102222010120 its reverse (2101022220101), we get a palindrome (12203244230221).

It can be divided in two parts, 10102 and 222010120, that added together give a palindrome (222020222).

The spelling of 10102222010120 in words is "ten trillion, one hundred two billion, two hundred twenty-two million, ten thousand, one hundred twenty".