101122121113 has 8 divisors (see below), whose sum is σ = 108998958600. Its totient is φ = 93259314048.

The previous prime is 101122121053. The next prime is 101122121131. The reversal of 101122121113 is 311121221101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4219411849 + 96902709264 = 64957^2 + 311292^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101122121113 - 2¹³ = 101122112921 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101122121143) 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, 3492628 + ... + 3521461.

It is an arithmetic number, because the mean of its divisors is an integer number (13624869825).

Almost surely, 2^101122121113 is an apocalyptic number.

101122121113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101122121113 is a deficient number, since it is larger than the sum of its proper divisors (7876837487).

101122121113 is a wasteful number, since it uses less digits than its factorization.

101122121113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7015211.

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 101122121113 its reverse (311121221101), we get a palindrome (412243342214).

The spelling of 101122121113 in words is "one hundred one billion, one hundred twenty-two million, one hundred twenty-one thousand, one hundred thirteen".