101200320102033 has 8 divisors (see below), whose sum is σ = 149926400151200. Its totient is φ = 67466880068004.

The previous prime is 101200320102023. The next prime is 101200320102067. The reversal of 101200320102033 is 330201023002101.

101200320102033 is a `hidden beast` number, since 10 + 1 + 200 + 320 + 102 + 0 + 33 = 666.

It is not a de Polignac number, because 101200320102033 - 2¹³ = 101200320093841 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101200320101997 and 101200320102015.

It is not an unprimeable number, because it can be changed into a prime (101200320102023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1874080001863 + ... + 1874080001916.

It is an arithmetic number, because the mean of its divisors is an integer number (18740800018900).

Almost surely, 2^{101200320102033} is an apocalyptic number.

It is an amenable number.

101200320102033 is a deficient number, since it is larger than the sum of its proper divisors (48726080049167).

101200320102033 is an equidigital number, since it uses as much as digits as its factorization.

101200320102033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3748160003788 (or 3748160003782 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 101200320102033 its reverse (330201023002101), we get a palindrome (431401343104134).

The spelling of 101200320102033 in words is "one hundred one trillion, two hundred billion, three hundred twenty million, one hundred two thousand, thirty-three".