102012211011120 has 40 divisors (see below), whose sum is σ = 316237854135216. Its totient is φ = 27203256269568.

The previous prime is 102012211011017. The next prime is 102012211011121. The reversal of 102012211011120 is 21110112210201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

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 102012211011120.

It is not an unprimeable number, because it can be changed into a prime (102012211011121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 212525439367 + ... + 212525439846.

Almost surely, 2^{102012211011120} is an apocalyptic number.

102012211011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102012211011120 is an abundant number, since it is smaller than the sum of its proper divisors (214225643124096).

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

102012211011120 is a wasteful number, since it uses less digits than its factorization.

102012211011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425050879229 (or 425050879223 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 102012211011120 its reverse (21110112210201), we get a palindrome (123122323221321).

The spelling of 102012211011120 in words is "one hundred two trillion, twelve billion, two hundred eleven million, eleven thousand, one hundred twenty".