101100222210000 has 200 divisors, whose sum is σ = 351469998473440. Its totient is φ = 24886208448000.

The previous prime is 101100222209999. The next prime is 101100222210007. The reversal of 101100222210000 is 12222001101.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×101100222210000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101100222210007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 129225670 + ... + 130005669.

Almost surely, 2^{101100222210000} is an apocalyptic number.

101100222210000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101100222210000 is an abundant number, since it is smaller than the sum of its proper divisors (250369776263440).

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

101100222210000 is a wasteful number, since it uses less digits than its factorization.

101100222210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259231383 (or 259231362 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101100222210000 its reverse (12222001101), we get a palindrome (101112444211101).

The spelling of 101100222210000 in words is "one hundred one trillion, one hundred billion, two hundred twenty-two million, two hundred ten thousand".