2101001000121 has 12 divisors (see below), whose sum is σ = 3139426782180. Its totient is φ = 1352368459680.

The previous prime is 2101001000107. The next prime is 2101001000191. The reversal of 2101001000121 is 1210001001012.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1011158958096 + 1089842042025 = 1005564^2 + 1043955^2 .

It is not a de Polignac number, because 2101001000121 - 2¹¹ = 2101000998073 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (2101001000101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4024905870 + ... + 4024906391.

It is an arithmetic number, because the mean of its divisors is an integer number (261618898515).

Almost surely, 2^{2101001000121} is an apocalyptic number.

It is an amenable number.

2101001000121 is a deficient number, since it is larger than the sum of its proper divisors (1038425782059).

2101001000121 is a wasteful number, since it uses less digits than its factorization.

2101001000121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8049812296 (or 8049812293 counting only the distinct ones).

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

Adding to 2101001000121 its reverse (1210001001012), we get a palindrome (3311002001133).

The spelling of 2101001000121 in words is "two trillion, one hundred one billion, one million, one hundred twenty-one", and thus it is an aban number.