102001112033131 has 16 divisors (see below), whose sum is σ = 102814249190400. Its totient is φ = 101188505017600.

The previous prime is 102001112033081. The next prime is 102001112033209. The reversal of 102001112033131 is 131330211100201.

It is a cyclic number.

It is not a de Polignac number, because 102001112033131 - 2¹¹ = 102001112031083 is a prime.

It is a super-2 number, since 2×102001112033131² (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 = 102001112033099 and 102001112033108.

It is not an unprimeable number, because it can be changed into a prime (102001112033531) 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, 8621506386 + ... + 8621518216.

It is an arithmetic number, because the mean of its divisors is an integer number (6425890574400).

Almost surely, 2^{102001112033131} is an apocalyptic number.

102001112033131 is a deficient number, since it is larger than the sum of its proper divisors (813137157269).

102001112033131 is a wasteful number, since it uses less digits than its factorization.

102001112033131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28490.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 102001112033131 its reverse (131330211100201), we get a palindrome (233331323133332).

The spelling of 102001112033131 in words is "one hundred two trillion, one billion, one hundred twelve million, thirty-three thousand, one hundred thirty-one".