102202002211120 has 80 divisors (see below), whose sum is σ = 271567916540928. Its totient is φ = 35040351456000.

The previous prime is 102202002211063. The next prime is 102202002211163. The reversal of 102202002211120 is 21112200202201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 102202002211094 and 102202002211103.

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 15 ways as a sum of consecutive naturals, for example, 61763997 + ... + 63397123.

Almost surely, 2^{102202002211120} is an apocalyptic number.

102202002211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102202002211120 is an abundant number, since it is smaller than the sum of its proper divisors (169365914329808).

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

102202002211120 is a wasteful number, since it uses less digits than its factorization.

102202002211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1744898 (or 1744892 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102202002211120 its reverse (21112200202201), we get a palindrome (123314202413321).

The spelling of 102202002211120 in words is "one hundred two trillion, two hundred two billion, two million, two hundred eleven thousand, one hundred twenty".