101121012222101 has 16 divisors (see below), whose sum is σ = 105891351726720. Its totient is φ = 96382355509440.

The previous prime is 101121012222091. The next prime is 101121012222103. The reversal of 101121012222101 is 101222210121101.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101121012222101 is a prime.

It is a super-2 number, since 2×101121012222101² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101121012222101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101121012222103) 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, 2239031 + ... + 14396363.

It is an arithmetic number, because the mean of its divisors is an integer number (6618209482920).

Almost surely, 2^{101121012222101} is an apocalyptic number.

It is an amenable number.

101121012222101 is a deficient number, since it is larger than the sum of its proper divisors (4770339504619).

101121012222101 is a wasteful number, since it uses less digits than its factorization.

101121012222101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12158636.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 101121012222101 its reverse (101222210121101), we get a palindrome (202343222343202).

The spelling of 101121012222101 in words is "one hundred one trillion, one hundred twenty-one billion, twelve million, two hundred twenty-two thousand, one hundred one".