101033133201 has 144 divisors (see below), whose sum is σ = 201106668672. Its totient is φ = 47175436800.

The previous prime is 101033133197. The next prime is 101033133209. The reversal of 101033133201 is 102331330101.

It is a happy number.

101033133201 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 331 + 332 + 0 + 1 = 666.

It is not a de Polignac number, because 101033133201 - 2² = 101033133197 is a prime.

It is a super-2 number, since 2×101033133201² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101033133209) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 193179726 + ... + 193180248.

It is an arithmetic number, because the mean of its divisors is an integer number (1396574088).

Almost surely, 2^101033133201 is an apocalyptic number.

101033133201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101033133201 is a deficient number, since it is larger than the sum of its proper divisors (100073535471).

101033133201 is a wasteful number, since it uses less digits than its factorization.

101033133201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1124 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 101033133201 its reverse (102331330101), we get a palindrome (203364463302).

The spelling of 101033133201 in words is "one hundred one billion, thirty-three million, one hundred thirty-three thousand, two hundred one".