101202111121113 has 56 divisors (see below), whose sum is σ = 152179579883520. Its totient is φ = 67269879578880.

The previous prime is 101202111121093. The next prime is 101202111121117. The reversal of 101202111121113 is 311121111202101.

101202111121113 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 101202111121113 - 2⁹ = 101202111120601 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101202111121117) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3828904008 + ... + 3828930438.

It is an arithmetic number, because the mean of its divisors is an integer number (2717492497920).

Almost surely, 2^{101202111121113} is an apocalyptic number.

It is an amenable number.

101202111121113 is a deficient number, since it is larger than the sum of its proper divisors (50977468762407).

101202111121113 is an equidigital number, since it uses as much as digits as its factorization.

101202111121113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41681 (or 41666 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 18.

Adding to 101202111121113 its reverse (311121111202101), we get a palindrome (412323222323214).

The spelling of 101202111121113 in words is "one hundred one trillion, two hundred two billion, one hundred eleven million, one hundred twenty-one thousand, one hundred thirteen".