10201222212120 has 96 divisors (see below), whose sum is σ = 33482229459120. Its totient is φ = 2693391993600.

The previous prime is 10201222212107. The next prime is 10201222212227. The reversal of 10201222212120 is 2121222210201.

It is a happy number.

10201222212120 is a `hidden beast` number, since 10 + 201 + 22 + 221 + 212 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10201222212093 and 10201222212102.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 140244474 + ... + 140317193.

Almost surely, 2^{10201222212120} is an apocalyptic number.

10201222212120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10201222212120 is an abundant number, since it is smaller than the sum of its proper divisors (23281007247000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10201222212120 is a wasteful number, since it uses less digits than its factorization.

10201222212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280561785 (or 280561778 counting only the distinct ones).

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

Adding to 10201222212120 its reverse (2121222210201), we get a palindrome (12322444422321).

The spelling of 10201222212120 in words is "ten trillion, two hundred one billion, two hundred twenty-two million, two hundred twelve thousand, one hundred twenty".