1090142721801 has 45 divisors (see below), whose sum is σ = 1894474187991. Its totient is φ = 622901110608.

The previous prime is 1090142721791. The next prime is 1090142721823. The reversal of 1090142721801 is 1081272410901.

The square root of 1090142721801 is 1044099.

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

1090142721801 is a `hidden beast` number, since 10 + 9 + 0 + 1 + 427 + 218 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 743311244025 + 346831477776 = 862155^2 + 588924^2 .

It is not a de Polignac number, because 1090142721801 - 2¹⁹ = 1090142197513 is a prime.

It is a super-2 number, since 2×1090142721801² (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1090142721901) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 65769951 + ... + 65786523.

Almost surely, 2^{1090142721801} is an apocalyptic number.

1090142721801 is the 1044099-th square number.

1090142721801 is the 522050-th centered octagonal number.

It is an amenable number.

1090142721801 is a deficient number, since it is larger than the sum of its proper divisors (804331466190).

1090142721801 is an frugal number, since it uses more digits than its factorization.

1090142721801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33172 (or 16583 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

Multiplying 1090142721801 by its sum of digits (36), we get a square (39245137984836 = 6264594²).

The spelling of 1090142721801 in words is "one trillion, ninety billion, one hundred forty-two million, seven hundred twenty-one thousand, eight hundred one".