10110498449401 has 27 divisors (see below), whose sum is σ = 12153653290863. Its totient is φ = 8386016229360.

The previous prime is 10110498449399. The next prime is 10110498449417. The reversal of 10110498449401 is 10494489401101.

The square root of 10110498449401 is 3179701.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 8198572789225 + 1911925660176 = 2863315^2 + 1382724^2 .

It is not a de Polignac number, because 10110498449401 - 2¹ = 10110498449399 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10110498449101) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 689987791 + ... + 690002443.

It is an arithmetic number, because the mean of its divisors is an integer number (450135307069).

Almost surely, 2^{10110498449401} is an apocalyptic number.

10110498449401 is the 3179701-st square number.

10110498449401 is the 1589851-st centered octagonal number.

It is an amenable number.

10110498449401 is a deficient number, since it is larger than the sum of its proper divisors (2043154841462).

10110498449401 is an frugal number, since it uses more digits than its factorization.

10110498449401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29382 (or 14691 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 46.

The spelling of 10110498449401 in words is "ten trillion, one hundred ten billion, four hundred ninety-eight million, four hundred forty-nine thousand, four hundred one".