2001101021101 has 24 divisors (see below), whose sum is σ = 2507284836504. Its totient is φ = 1583029123200.

The previous prime is 2001101021077. The next prime is 2001101021147. The reversal of 2001101021101 is 1011201011002.

It can be written as a sum of positive squares in 4 ways, for example, as 241164477225 + 1759936543876 = 491085^2 + 1326626^2 .

It is not a de Polignac number, because 2001101021101 - 2²¹ = 2001098923949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001101024101) 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, 3677751 + ... + 4186651.

It is an arithmetic number, because the mean of its divisors is an integer number (104470201521).

Almost surely, 2^{2001101021101} is an apocalyptic number.

It is an amenable number.

2001101021101 is a deficient number, since it is larger than the sum of its proper divisors (506183815403).

2001101021101 is a wasteful number, since it uses less digits than its factorization.

2001101021101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515101 (or 515094 counting only the distinct ones).

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

Adding to 2001101021101 its reverse (1011201011002), we get a palindrome (3012302032103).

The spelling of 2001101021101 in words is "two trillion, one billion, one hundred one million, twenty-one thousand, one hundred one".