10100120100010 has 8 divisors (see below), whose sum is σ = 18180216180036. Its totient is φ = 4040048040000.

The previous prime is 10100120099981. The next prime is 10100120100011. The reversal of 10100120100010 is 1000102100101.

It can be written as a sum of positive squares in 2 ways, for example, as 10077520089121 + 22600010889 = 3174511^2 + 150333^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 10100120099966 and 10100120100002.

It is not an unprimeable number, because it can be changed into a prime (10100120100011) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 505006004991 + ... + 505006005010.

Almost surely, 2^{10100120100010} is an apocalyptic number.

10100120100010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10100120100010 is a deficient number, since it is larger than the sum of its proper divisors (8080096080026).

10100120100010 is a wasteful number, since it uses less digits than its factorization.

10100120100010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010012010008.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 10100120100010 its reverse (1000102100101), we get a palindrome (11100222200111).

The spelling of 10100120100010 in words is "ten trillion, one hundred billion, one hundred twenty million, one hundred thousand, ten".