10212103405120 has 56 divisors (see below), whose sum is σ = 24332574055608. Its totient is φ = 4082321203200.

The previous prime is 10212103405111. The next prime is 10212103405139. The reversal of 10212103405120 is 2150430121201.

It can be written as a sum of positive squares in 4 ways, for example, as 5609053302336 + 4603050102784 = 2368344^2 + 2145472^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10212103405091 and 10212103405100.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9324841 + ... + 10362280.

It is an arithmetic number, because the mean of its divisors is an integer number (434510250993).

Almost surely, 2^{10212103405120} is an apocalyptic number.

10212103405120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10212103405120 is an abundant number, since it is smaller than the sum of its proper divisors (14120470650488).

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

10212103405120 is a wasteful number, since it uses less digits than its factorization.

10212103405120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19688759 (or 19688749 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

Adding to 10212103405120 its reverse (2150430121201), we get a palindrome (12362533526321).

The spelling of 10212103405120 in words is "ten trillion, two hundred twelve billion, one hundred three million, four hundred five thousand, one hundred twenty".