101120120100033 has 16 divisors (see below), whose sum is σ = 140813476552320. Its totient is φ = 64425280765824.

The previous prime is 101120120100029. The next prime is 101120120100049. The reversal of 101120120100033 is 330001021021101.

It is a happy number.

It is not a de Polignac number, because 101120120100033 - 2² = 101120120100029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101120120099985 and 101120120100021.

It is not an unprimeable number, because it can be changed into a prime (101120120100023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 648951766 + ... + 649107567.

It is an arithmetic number, because the mean of its divisors is an integer number (8800842284520).

Almost surely, 2^{101120120100033} is an apocalyptic number.

It is an amenable number.

101120120100033 is a deficient number, since it is larger than the sum of its proper divisors (39693356452287).

101120120100033 is a wasteful number, since it uses less digits than its factorization.

101120120100033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1298060488.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 101120120100033 its reverse (330001021021101), we get a palindrome (431121141121134).

The spelling of 101120120100033 in words is "one hundred one trillion, one hundred twenty billion, one hundred twenty million, one hundred thousand, thirty-three".