1102001121001 has 24 divisors (see below), whose sum is σ = 1283297427720. Its totient is φ = 942333934080.

The previous prime is 1102001120971. The next prime is 1102001121017. The reversal of 1102001121001 is 1001211002011.

It can be written as a sum of positive squares in 4 ways, for example, as 371489031001 + 730512090000 = 609499^2 + 854700^2 .

It is not a de Polignac number, because 1102001121001 - 2¹⁵ = 1102001088233 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1102001121031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3358675 + ... + 3672151.

It is an arithmetic number, because the mean of its divisors is an integer number (53470726155).

Almost surely, 2^{1102001121001} is an apocalyptic number.

1102001121001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1102001121001 is a deficient number, since it is larger than the sum of its proper divisors (181296306719).

1102001121001 is a wasteful number, since it uses less digits than its factorization.

1102001121001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315225 (or 315214 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1102001121001 its reverse (1001211002011), we get a palindrome (2103212123012).

The spelling of 1102001121001 in words is "one trillion, one hundred two billion, one million, one hundred twenty-one thousand, one".