101122133229 has 48 divisors (see below), whose sum is σ = 159993353520. Its totient is φ = 61165393920.

The previous prime is 101122133227. The next prime is 101122133251. The reversal of 101122133229 is 922331221101.

101122133229 is a `hidden beast` number, since 10 + 112 + 213 + 322 + 9 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 18464733225 + 82657400004 = 135885^2 + 287502^2 .

It is not a de Polignac number, because 101122133229 - 2¹ = 101122133227 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101122133221) 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, 12078757 + ... + 12087125.

It is an arithmetic number, because the mean of its divisors is an integer number (3333194865).

Almost surely, 2^101122133229 is an apocalyptic number.

It is an amenable number.

101122133229 is a deficient number, since it is larger than the sum of its proper divisors (58871220291).

101122133229 is a wasteful number, since it uses less digits than its factorization.

101122133229 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10142 (or 10139 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 101122133229 in words is "one hundred one billion, one hundred twenty-two million, one hundred thirty-three thousand, two hundred twenty-nine".