101200120130033 has 32 divisors (see below), whose sum is σ = 107314235952000. Its totient is φ = 95167558886400.

The previous prime is 101200120130017. The next prime is 101200120130051. The reversal of 101200120130033 is 330031021002101.

It is a cyclic number.

It is not a de Polignac number, because 101200120130033 - 2⁴ = 101200120130017 is a prime.

It is a super-2 number, since 2×101200120130033² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101200120129993 and 101200120130020.

It is not an unprimeable number, because it can be changed into a prime (101200120130233) 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, 5054688563 + ... + 5054708583.

It is an arithmetic number, because the mean of its divisors is an integer number (3353569873500).

Almost surely, 2^{101200120130033} is an apocalyptic number.

It is an amenable number.

101200120130033 is a deficient number, since it is larger than the sum of its proper divisors (6114115821967).

101200120130033 is a wasteful number, since it uses less digits than its factorization.

101200120130033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23793.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 101200120130033 its reverse (330031021002101), we get a palindrome (431231141132134).

The spelling of 101200120130033 in words is "one hundred one trillion, two hundred billion, one hundred twenty million, one hundred thirty thousand, thirty-three".