10120010100010 has 64 divisors (see below), whose sum is σ = 19255203753984. Its totient is φ = 3823792761600.

The previous prime is 10120010100001. The next prime is 10120010100071. The reversal of 10120010100010 is 1000101002101.

It is a junction number, because it is equal to n+sod(n) for n = 10120010099966 and 10120010100002.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4503540 + ... + 6365680.

It is an arithmetic number, because the mean of its divisors is an integer number (300862558656).

Almost surely, 2^{10120010100010} is an apocalyptic number.

10120010100010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10120010100010 is a deficient number, since it is larger than the sum of its proper divisors (9135193653974).

10120010100010 is a wasteful number, since it uses less digits than its factorization.

10120010100010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1862599.

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

Adding to 10120010100010 its reverse (1000101002101), we get a palindrome (11120111102111).

The spelling of 10120010100010 in words is "ten trillion, one hundred twenty billion, ten million, one hundred thousand, ten".