101112121122121 has 4 divisors (see below), whose sum is σ = 107059892952852. Its totient is φ = 95164349291392.

The previous prime is 101112121122013. The next prime is 101112121122127. The reversal of 101112121122121 is 121221121211101.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 69850480675600 + 31261640446521 = 8357660^2 + 5591211^2 .

It is a cyclic number.

It is not a de Polignac number, because 101112121122121 - 2¹⁹ = 101112120597833 is a prime.

It is a super-2 number, since 2×101112121122121² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101112121122127) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2973885915340 + ... + 2973885915373.

It is an arithmetic number, because the mean of its divisors is an integer number (26764973238213).

Almost surely, 2^{101112121122121} is an apocalyptic number.

It is an amenable number.

101112121122121 is a deficient number, since it is larger than the sum of its proper divisors (5947771830731).

101112121122121 is an equidigital number, since it uses as much as digits as its factorization.

101112121122121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5947771830730.

The product of its (nonzero) digits is 32, while the sum is 19.

Adding to 101112121122121 its reverse (121221121211101), we get a palindrome (222333242333222).

The spelling of 101112121122121 in words is "one hundred one trillion, one hundred twelve billion, one hundred twenty-one million, one hundred twenty-two thousand, one hundred twenty-one".