101102102002120 has 32 divisors (see below), whose sum is σ = 227483023344120. Its totient is φ = 40440255229440.

The previous prime is 101102102002117. The next prime is 101102102002141. The reversal of 101102102002120 is 21200201201101.

It can be written as a sum of positive squares in 4 ways, for example, as 100739401757604 + 362700244516 = 10036902^2 + 602246^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 101102102002120.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15496791 + ... + 21032230.

Almost surely, 2^{101102102002120} is an apocalyptic number.

101102102002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101102102002120 is an abundant number, since it is smaller than the sum of its proper divisors (126380921342000).

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

101102102002120 is a wasteful number, since it uses less digits than its factorization.

101102102002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36598225 (or 36598221 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 101102102002120 its reverse (21200201201101), we get a palindrome (122302303203221).

The spelling of 101102102002120 in words is "one hundred one trillion, one hundred two billion, one hundred two million, two thousand, one hundred twenty".