101112122021121 has 24 divisors (see below), whose sum is σ = 149996838251520. Its totient is φ = 65609476692000.

The previous prime is 101112122021087. The next prime is 101112122021143. The reversal of 101112122021121 is 121120221211101.

It is a happy number.

101112122021121 is a `hidden beast` number, since 101 + 112 + 1 + 220 + 211 + 21 = 666.

It is not a de Polignac number, because 101112122021121 - 2²⁹ = 101111585150209 is a prime.

It is a super-2 number, since 2×101112122021121² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101112122021094 and 101112122021103.

It is not an unprimeable number, because it can be changed into a prime (101112122021021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 942611265 + ... + 942718526.

It is an arithmetic number, because the mean of its divisors is an integer number (6249868260480).

Almost surely, 2^{101112122021121} is an apocalyptic number.

It is an amenable number.

101112122021121 is a deficient number, since it is larger than the sum of its proper divisors (48884716230399).

101112122021121 is a wasteful number, since it uses less digits than its factorization.

101112122021121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1885329957 (or 1885329954 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 101112122021121 its reverse (121120221211101), we get a palindrome (222232343232222).

The spelling of 101112122021121 in words is "one hundred one trillion, one hundred twelve billion, one hundred twenty-two million, twenty-one thousand, one hundred twenty-one".