102121443433120 has 48 divisors (see below), whose sum is σ = 255453787182888. Its totient is φ = 38445719879680.

The previous prime is 102121443433117. The next prime is 102121443433147. The reversal of 102121443433120 is 21334344121201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 77569378793104 + 24552064640016 = 8807348^2 + 4955004^2 .

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 7 ways as a sum of consecutive naturals, for example, 18772321441 + ... + 18772326880.

Almost surely, 2^{102121443433120} is an apocalyptic number.

102121443433120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102121443433120 is an abundant number, since it is smaller than the sum of its proper divisors (153332343749768).

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

102121443433120 is a wasteful number, since it uses less digits than its factorization.

102121443433120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37544648353 (or 37544648345 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

Adding to 102121443433120 its reverse (21334344121201), we get a palindrome (123455787554321).

The spelling of 102121443433120 in words is "one hundred two trillion, one hundred twenty-one billion, four hundred forty-three million, four hundred thirty-three thousand, one hundred twenty".