101212002201120 has 96 divisors (see below), whose sum is σ = 318823018835328. Its totient is φ = 26989426034688.

The previous prime is 101212002201091. The next prime is 101212002201139. The reversal of 101212002201120 is 21102200212101.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101212002201120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28210197 + ... + 31594923.

It is an arithmetic number, because the mean of its divisors is an integer number (3321073112868).

Almost surely, 2^{101212002201120} is an apocalyptic number.

101212002201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101212002201120 is an abundant number, since it is smaller than the sum of its proper divisors (217611016634208).

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

101212002201120 is a wasteful number, since it uses less digits than its factorization.

101212002201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3447042 (or 3447034 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 101212002201120 its reverse (21102200212101), we get a palindrome (122314202413221).

The spelling of 101212002201120 in words is "one hundred one trillion, two hundred twelve billion, two million, two hundred one thousand, one hundred twenty".