1101010010001 has 24 divisors (see below), whose sum is σ = 1615072953312. Its totient is φ = 666670276800.

The previous prime is 1101010009973. The next prime is 1101010010029. The reversal of 1101010010001 is 1000100101011.

It is an interprime number because it is at equal distance from previous prime (1101010009973) and next prime (1101010010029).

It is not a de Polignac number, because 1101010010001 - 2¹⁰ = 1101010008977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1101010010041) 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, 984235 + ... + 1780656.

It is an arithmetic number, because the mean of its divisors is an integer number (67294706388).

Almost surely, 2^{1101010010001} is an apocalyptic number.

1101010010001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1101010010001 is a deficient number, since it is larger than the sum of its proper divisors (514062943311).

1101010010001 is a wasteful number, since it uses less digits than its factorization.

1101010010001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2766013 (or 2766002 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 1101010010001 its reverse (1000100101011), we get a palindrome (2101110111012).

The spelling of 1101010010001 in words is "one trillion, one hundred one billion, ten million, ten thousand, one".