30201131102101 has 16 divisors (see below), whose sum is σ = 32358804819120. Its totient is φ = 28086237245440.

The previous prime is 30201131102089. The next prime is 30201131102111. The reversal of 30201131102101 is 10120113110203.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 352675638225 + 29848455463876 = 593865^2 + 5463374^2 .

It is a cyclic number.

It is not a de Polignac number, because 30201131102101 - 2³⁵ = 30166771363733 is a prime.

It is a super-2 number, since 2×30201131102101² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30201131102111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4498306 + ... + 8979811.

It is an arithmetic number, because the mean of its divisors is an integer number (2022425301195).

Almost surely, 2^{30201131102101} is an apocalyptic number.

It is an amenable number.

30201131102101 is a deficient number, since it is larger than the sum of its proper divisors (2157673717019).

30201131102101 is a wasteful number, since it uses less digits than its factorization.

30201131102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13479704.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 30201131102101 its reverse (10120113110203), we get a palindrome (40321244212304).

It can be divided in two parts, 3020113 and 1102101, that added together give a palindrome (4122214).

The spelling of 30201131102101 in words is "thirty trillion, two hundred one billion, one hundred thirty-one million, one hundred two thousand, one hundred one".