1000102001211 has 48 divisors (see below), whose sum is σ = 1546313820480. Its totient is φ = 620680550400.

The previous prime is 1000102001191. The next prime is 1000102001231. The reversal of 1000102001211 is 1121002010001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1000102001191) and next prime (1000102001231).

It is not a de Polignac number, because 1000102001211 - 2²⁷ = 999967783483 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 1000102001193 and 1000102001202.

It is not an unprimeable number, because it can be changed into a prime (1000102001231) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5290105 + ... + 5475893.

It is an arithmetic number, because the mean of its divisors is an integer number (32214871260).

Almost surely, 2^{1000102001211} is an apocalyptic number.

1000102001211 is a deficient number, since it is larger than the sum of its proper divisors (546211819269).

1000102001211 is a wasteful number, since it uses less digits than its factorization.

1000102001211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186196 (or 186193 counting only the distinct ones).

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

Adding to 1000102001211 its reverse (1121002010001), we get a palindrome (2121104011212).

The spelling of 1000102001211 in words is "one trillion, one hundred two million, one thousand, two hundred eleven".