10120022112010 has 48 divisors (see below), whose sum is σ = 18796484403000. Its totient is φ = 3922770736640.

The previous prime is 10120022111951. The next prime is 10120022112017. The reversal of 10120022112010 is 1021122002101.

It can be written as a sum of positive squares in 12 ways, for example, as 1699990922569 + 8420031189441 = 1303837^2 + 2901729^2 .

It is not an unprimeable number, because it can be changed into a prime (10120022112017) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 484476 + ... + 4524904.

Almost surely, 2^{10120022112010} is an apocalyptic number.

10120022112010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10120022112010 is a deficient number, since it is larger than the sum of its proper divisors (8676462290990).

10120022112010 is a wasteful number, since it uses less digits than its factorization.

10120022112010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4040667 (or 4040626 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10120022112010 its reverse (1021122002101), we get a palindrome (11141144114111).

The spelling of 10120022112010 in words is "ten trillion, one hundred twenty billion, twenty-two million, one hundred twelve thousand, ten".