10510010601090 has 256 divisors, whose sum is σ = 34782556999680. Its totient is φ = 1961421972480.

The previous prime is 10510010601071. The next prime is 10510010601137. The reversal of 10510010601090 is 9010601001501.

It is a super-2 number, since 2×10510010601090² (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10510010601090.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3618400 + ... + 5840619.

It is an arithmetic number, because the mean of its divisors is an integer number (135869363280).

Almost surely, 2^{10510010601090} is an apocalyptic number.

10510010601090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10510010601090 is an abundant number, since it is smaller than the sum of its proper divisors (24272546398590).

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

10510010601090 is a wasteful number, since it uses less digits than its factorization.

10510010601090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9459097.

The product of its (nonzero) digits is 270, while the sum is 24.

Adding to 10510010601090 its reverse (9010601001501), we get a palindrome (19520611602591).

The spelling of 10510010601090 in words is "ten trillion, five hundred ten billion, ten million, six hundred one thousand, ninety".