10102210121120 has 96 divisors (see below), whose sum is σ = 25809003879120. Its totient is φ = 3714569256960.

The previous prime is 10102210121053. The next prime is 10102210121167. The reversal of 10102210121120 is 2112101220101.

It can be written as a sum of positive squares in 8 ways, for example, as 2847440254096 + 7254769867024 = 1687436^2 + 2693468^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10102210121095 and 10102210121104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9575135 + ... + 10577694.

Almost surely, 2^{10102210121120} is an apocalyptic number.

10102210121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10102210121120 is an abundant number, since it is smaller than the sum of its proper divisors (15706793758000).

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

10102210121120 is a wasteful number, since it uses less digits than its factorization.

10102210121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20153098 (or 20153090 counting only the distinct ones).

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

Adding to 10102210121120 its reverse (2112101220101), we get a palindrome (12214311341221).

The spelling of 10102210121120 in words is "ten trillion, one hundred two billion, two hundred ten million, one hundred twenty-one thousand, one hundred twenty".