1002012101101 has 4 divisors (see below), whose sum is σ = 1093104110304. Its totient is φ = 910920091900.

The previous prime is 1002012101059. The next prime is 1002012101119. The reversal of 1002012101101 is 1011012102001.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 1002012101101 - 2²⁵ = 1001978546669 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002012101161) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 45546004585 + ... + 45546004606.

It is an arithmetic number, because the mean of its divisors is an integer number (273276027576).

Almost surely, 2^{1002012101101} is an apocalyptic number.

1002012101101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1002012101101 is a deficient number, since it is larger than the sum of its proper divisors (91092009203).

1002012101101 is an equidigital number, since it uses as much as digits as its factorization.

1002012101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91092009202.

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

Adding to 1002012101101 its reverse (1011012102001), we get a palindrome (2013024203102).

It can be divided in two parts, 10020 and 12101101, that added together give a palindrome (12111121).

The spelling of 1002012101101 in words is "one trillion, two billion, twelve million, one hundred one thousand, one hundred one".