102133122020211 has 32 divisors (see below), whose sum is σ = 138627541020672. Its totient is φ = 66871140885920.

The previous prime is 102133122020143. The next prime is 102133122020219. The reversal of 102133122020211 is 112020221331201.

It is a cyclic number.

It is not a de Polignac number, because 102133122020211 - 2³⁵ = 102098762281843 is a prime.

It is a super-2 number, since 2×102133122020211² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102133122020219) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1631410036 + ... + 1631472638.

It is an arithmetic number, because the mean of its divisors is an integer number (4332110656896).

Almost surely, 2^{102133122020211} is an apocalyptic number.

102133122020211 is a deficient number, since it is larger than the sum of its proper divisors (36494419000461).

102133122020211 is a wasteful number, since it uses less digits than its factorization.

102133122020211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92063.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 102133122020211 its reverse (112020221331201), we get a palindrome (214153343351412).

The spelling of 102133122020211 in words is "one hundred two trillion, one hundred thirty-three billion, one hundred twenty-two million, twenty thousand, two hundred eleven".