102001003133211 has 96 divisors (see below), whose sum is σ = 189037954560000. Its totient is φ = 51551637408000.

The previous prime is 102001003133137. The next prime is 102001003133231. The reversal of 102001003133211 is 112331300100201.

102001003133211 is a `hidden beast` number, since 1 + 0 + 20 + 0 + 10 + 0 + 313 + 321 + 1 = 666.

It is not a de Polignac number, because 102001003133211 - 2⁷ = 102001003133083 is a prime.

It is a super-2 number, since 2×102001003133211² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102001003133231) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17324461 + ... + 22453038.

It is an arithmetic number, because the mean of its divisors is an integer number (1969145360000).

Almost surely, 2^{102001003133211} is an apocalyptic number.

102001003133211 is a deficient number, since it is larger than the sum of its proper divisors (87036951426789).

102001003133211 is a wasteful number, since it uses less digits than its factorization.

102001003133211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39777657 (or 39777654 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 102001003133211 its reverse (112331300100201), we get a palindrome (214332303233412).

The spelling of 102001003133211 in words is "one hundred two trillion, one billion, three million, one hundred thirty-three thousand, two hundred eleven".