10122112002020 has 48 divisors (see below), whose sum is σ = 22517589291120. Its totient is φ = 3808853028864.

The previous prime is 10122112002001. The next prime is 10122112002049. The reversal of 10122112002020 is 2020021122101.

It can be written as a sum of positive squares in 8 ways, for example, as 1484849479936 + 8637262522084 = 1218544^2 + 2938922^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10122112001986 and 10122112002004.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6415379 + ... + 7835898.

It is an arithmetic number, because the mean of its divisors is an integer number (469116443565).

Almost surely, 2^{10122112002020} is an apocalyptic number.

10122112002020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10122112002020 is an abundant number, since it is smaller than the sum of its proper divisors (12395477289100).

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

10122112002020 is a wasteful number, since it uses less digits than its factorization.

10122112002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14253392 (or 14253390 counting only the distinct ones).

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

Adding to 10122112002020 its reverse (2020021122101), we get a palindrome (12142133124121).

The spelling of 10122112002020 in words is "ten trillion, one hundred twenty-two billion, one hundred twelve million, two thousand, twenty".