10120120002010 has 8 divisors (see below), whose sum is σ = 18216216003636. Its totient is φ = 4048048000800.

The previous prime is 10120120001993. The next prime is 10120120002029. The reversal of 10120120002010 is 1020002102101.

It can be written as a sum of positive squares in 2 ways, for example, as 10019801475649 + 100318526361 = 3165407^2 + 316731^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a Harshad number since it is a multiple of its sum of digits (10), and also a Moran number because the ratio is a prime number: 1012012000201 = 10120120002010 / (1 + 0 + 1 + 2 + 0 + 1 + 2 + 0 + 0 + 0 + 2 + 0 + 1 + 0).

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 3 ways as a sum of consecutive naturals, for example, 506006000091 + ... + 506006000110.

Almost surely, 2^{10120120002010} is an apocalyptic number.

10120120002010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10120120002010 is a deficient number, since it is larger than the sum of its proper divisors (8096096001626).

10120120002010 is a wasteful number, since it uses less digits than its factorization.

10120120002010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012012000208.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10120120002010 its reverse (1020002102101), we get a palindrome (11140122104111).

The spelling of 10120120002010 in words is "ten trillion, one hundred twenty billion, one hundred twenty million, two thousand, ten".