1102101012001 has 32 divisors (see below), whose sum is σ = 1250697490560. Its totient is φ = 962559936000.

The previous prime is 1102101011989. The next prime is 1102101012011. The reversal of 1102101012001 is 1002101012011.

It is a cyclic number.

It is not a de Polignac number, because 1102101012001 - 2²¹ = 1102098914849 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1102101012011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5822551 + ... + 6008851.

It is an arithmetic number, because the mean of its divisors is an integer number (39084296580).

Almost surely, 2^{1102101012001} is an apocalyptic number.

1102101012001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1102101012001 is a deficient number, since it is larger than the sum of its proper divisors (148596478559).

1102101012001 is a wasteful number, since it uses less digits than its factorization.

1102101012001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186577.

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

Adding to 1102101012001 its sum of digits (10), we get a palindrome (1102101012011).

Adding to 1102101012001 its reverse (1002101012011), we get a palindrome (2104202024012).

It can be divided in two parts, 11021010 and 12001, that added together give a palindrome (11033011).

The spelling of 1102101012001 in words is "one trillion, one hundred two billion, one hundred one million, twelve thousand, one".