101121221121 has 32 divisors (see below), whose sum is σ = 139901976576. Its totient is φ = 64926792000.

The previous prime is 101121221039. The next prime is 101121221129. The reversal of 101121221121 is 121122121101.

It is a happy number.

It is not a de Polignac number, because 101121221121 - 2⁹ = 101121220609 is a prime.

It is a super-2 number, since 2×101121221121² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 101121221121.

It is not an unprimeable number, because it can be changed into a prime (101121221129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5406616 + ... + 5425286.

It is an arithmetic number, because the mean of its divisors is an integer number (4371936768).

Almost surely, 2^101121221121 is an apocalyptic number.

It is an amenable number.

101121221121 is a deficient number, since it is larger than the sum of its proper divisors (38780755455).

101121221121 is a wasteful number, since it uses less digits than its factorization.

101121221121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19333.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 101121221121 its reverse (121122121101), we get a palindrome (222243342222).

The spelling of 101121221121 in words is "one hundred one billion, one hundred twenty-one million, two hundred twenty-one thousand, one hundred twenty-one".