10201222102101 has 16 divisors (see below), whose sum is σ = 13634386907328. Its totient is φ = 6784453990400.

The previous prime is 10201222102031. The next prime is 10201222102117. The reversal of 10201222102101 is 10120122210201.

It is a cyclic number.

It is not a de Polignac number, because 10201222102101 - 2¹⁷ = 10201221971029 is a prime.

It is a super-2 number, since 2×10201222102101² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201222100101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25150 + ... + 4516976.

It is an arithmetic number, because the mean of its divisors is an integer number (852149181708).

Almost surely, 2^{10201222102101} is an apocalyptic number.

It is an amenable number.

10201222102101 is a deficient number, since it is larger than the sum of its proper divisors (3433164805227).

10201222102101 is a wasteful number, since it uses less digits than its factorization.

10201222102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4493652.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10201222102101 its reverse (10120122210201), we get a palindrome (20321344312302).

The spelling of 10201222102101 in words is "ten trillion, two hundred one billion, two hundred twenty-two million, one hundred two thousand, one hundred one".