101121120022101 has 16 divisors (see below), whose sum is σ = 135302399930880. Its totient is φ = 67177090542320.

The previous prime is 101121120022063. The next prime is 101121120022147. The reversal of 101121120022101 is 101220021121101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 101121120022101 - 2⁶ = 101121120022037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101121120022171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13207611 + ... + 19408328.

It is an arithmetic number, because the mean of its divisors is an integer number (8456399995680).

Almost surely, 2^{101121120022101} is an apocalyptic number.

It is an amenable number.

101121120022101 is a deficient number, since it is larger than the sum of its proper divisors (34181279908779).

101121120022101 is a wasteful number, since it uses less digits than its factorization.

101121120022101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32619576.

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

Adding to 101121120022101 its reverse (101220021121101), we get a palindrome (202341141143202).

The spelling of 101121120022101 in words is "one hundred one trillion, one hundred twenty-one billion, one hundred twenty million, twenty-two thousand, one hundred one".