101121022011121 has 16 divisors (see below), whose sum is σ = 116264640715776. Its totient is φ = 86151894173136.

The previous prime is 101121022011077. The next prime is 101121022011271. The reversal of 101121022011121 is 121110220121101.

It is a cyclic number.

It is not a de Polignac number, because 101121022011121 - 2¹⁷ = 101121021880049 is a prime.

It is a super-2 number, since 2×101121022011121² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101121022011095 and 101121022011104.

It is not an unprimeable number, because it can be changed into a prime (101121022011421) 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, 21659970 + ... + 25911316.

It is an arithmetic number, because the mean of its divisors is an integer number (7266540044736).

Almost surely, 2^{101121022011121} is an apocalyptic number.

It is an amenable number.

101121022011121 is a deficient number, since it is larger than the sum of its proper divisors (15143618704655).

101121022011121 is a wasteful number, since it uses less digits than its factorization.

101121022011121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4271868.

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

Adding to 101121022011121 its reverse (121110220121101), we get a palindrome (222231242132222).

The spelling of 101121022011121 in words is "one hundred one trillion, one hundred twenty-one billion, twenty-two million, eleven thousand, one hundred twenty-one".