101222022201201 has 48 divisors (see below), whose sum is σ = 164384881140480. Its totient is φ = 59488933563360.

The previous prime is 101222022201199. The next prime is 101222022201217. The reversal of 101222022201201 is 102102220222101.

It is a happy number.

101222022201201 is a `hidden beast` number, since 1 + 0 + 122 + 202 + 220 + 120 + 1 = 666.

It is not a de Polignac number, because 101222022201201 - 2¹ = 101222022201199 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101222022201101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84939871 + ... + 86123316.

It is an arithmetic number, because the mean of its divisors is an integer number (3424685023760).

Almost surely, 2^{101222022201201} is an apocalyptic number.

101222022201201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101222022201201 is a deficient number, since it is larger than the sum of its proper divisors (63162858939279).

101222022201201 is a wasteful number, since it uses less digits than its factorization.

101222022201201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171063386 (or 171063383 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 101222022201201 its reverse (102102220222101), we get a palindrome (203324242423302).

The spelling of 101222022201201 in words is "one hundred one trillion, two hundred twenty-two billion, twenty-two million, two hundred one thousand, two hundred one".