102101222212224 has 64 divisors (see below), whose sum is σ = 271208336715840. Its totient is φ = 34033494122496.

The previous prime is 102101222212211. The next prime is 102101222212273. The reversal of 102101222212224 is 422212222101201.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 102101222212194 and 102101222212203.

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 7 ways as a sum of consecutive naturals, for example, 56566704 + ... + 58343760.

It is an arithmetic number, because the mean of its divisors is an integer number (4237630261185).

Almost surely, 2^{102101222212224} is an apocalyptic number.

It is an amenable number.

102101222212224 is an abundant number, since it is smaller than the sum of its proper divisors (169107114503616).

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

102101222212224 is a wasteful number, since it uses less digits than its factorization.

102101222212224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1926697 (or 1926685 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 102101222212224 its reverse (422212222101201), we get a palindrome (524313444313425).

The spelling of 102101222212224 in words is "one hundred two trillion, one hundred one billion, two hundred twenty-two million, two hundred twelve thousand, two hundred twenty-four".