2101101011001 has 8 divisors (see below), whose sum is σ = 3112742238560. Its totient is φ = 1400734007316.

The previous prime is 2101101010999. The next prime is 2101101011011. The reversal of 2101101011001 is 1001101011012.

It is not a de Polignac number, because 2101101011001 - 2¹ = 2101101010999 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2101101011011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38909277955 + ... + 38909278008.

It is an arithmetic number, because the mean of its divisors is an integer number (389092779820).

Almost surely, 2^{2101101011001} is an apocalyptic number.

It is an amenable number.

2101101011001 is a deficient number, since it is larger than the sum of its proper divisors (1011641227559).

2101101011001 is an equidigital number, since it uses as much as digits as its factorization.

2101101011001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77818555972 (or 77818555966 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 2101101011001 its reverse (1001101011012), we get a palindrome (3102202022013).

The spelling of 2101101011001 in words is "two trillion, one hundred one billion, one hundred one million, eleven thousand, one".