101121122121 has 16 divisors (see below), whose sum is σ = 140789262336. Its totient is φ = 64437656976.

The previous prime is 101121122107. The next prime is 101121122143. The reversal of 101121122121 is 121221121101.

It is a happy number.

It is not a de Polignac number, because 101121122121 - 2⁹ = 101121121609 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101121122121.

It is not an unprimeable number, because it can be changed into a prime (101121122171) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 416755 + ... + 613128.

It is an arithmetic number, because the mean of its divisors is an integer number (8799328896).

Almost surely, 2^101121122121 is an apocalyptic number.

It is an amenable number.

101121122121 is a deficient number, since it is larger than the sum of its proper divisors (39668140215).

101121122121 is a wasteful number, since it uses less digits than its factorization.

101121122121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1031332.

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

Adding to 101121122121 its reverse (121221121101), we get a palindrome (222342243222).

The spelling of 101121122121 in words is "one hundred one billion, one hundred twenty-one million, one hundred twenty-two thousand, one hundred twenty-one".