101021121222201 has 24 divisors (see below), whose sum is σ = 149866518295104. Its totient is φ = 65525747467680.

The previous prime is 101021121222181. The next prime is 101021121222209. The reversal of 101021121222201 is 102222121120101.

101021121222201 is a `hidden beast` number, since 1 + 0 + 10 + 211 + 21 + 222 + 201 = 666.

It is not a de Polignac number, because 101021121222201 - 2¹⁰ = 101021121221177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101021121222209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11608956 + ... + 18352386.

It is an arithmetic number, because the mean of its divisors is an integer number (6244438262296).

Almost surely, 2^{101021121222201} is an apocalyptic number.

It is an amenable number.

101021121222201 is a deficient number, since it is larger than the sum of its proper divisors (48845397072903).

101021121222201 is a wasteful number, since it uses less digits than its factorization.

101021121222201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6788461 (or 6788458 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 101021121222201 its reverse (102222121120101), we get a palindrome (203243242342302).

The spelling of 101021121222201 in words is "one hundred one trillion, twenty-one billion, one hundred twenty-one million, two hundred twenty-two thousand, two hundred one".