2000101211001 has 6 divisors (see below), whose sum is σ = 2889035082570. Its totient is φ = 1333400807328.

The previous prime is 2000101210997. The next prime is 2000101211011. The reversal of 2000101211001 is 1001121010002.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1424862392976 + 575238818025 = 1193676^2 + 758445^2 .

It is not a de Polignac number, because 2000101211001 - 2² = 2000101210997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 222233467889 = 2000101211001 / (2 + 0 + 0 + 0 + 1 + 0 + 1 + 2 + 1 + 1 + 0 + 0 + 1).

It is not an unprimeable number, because it can be changed into a prime (2000101211011) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 111116733936 + ... + 111116733953.

It is an arithmetic number, because the mean of its divisors is an integer number (481505847095).

Almost surely, 2^{2000101211001} is an apocalyptic number.

It is an amenable number.

2000101211001 is a deficient number, since it is larger than the sum of its proper divisors (888933871569).

2000101211001 is a wasteful number, since it uses less digits than its factorization.

2000101211001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222233467895 (or 222233467892 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 2000101211001 its reverse (1001121010002), we get a palindrome (3001222221003).

The spelling of 2000101211001 in words is "two trillion, one hundred one million, two hundred eleven thousand, one".