102121002000019 has 8 divisors (see below), whose sum is σ = 108128394557568. Its totient is φ = 96113639975040.

The previous prime is 102121002000013. The next prime is 102121002000029. The reversal of 102121002000019 is 910000200121201.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102121002000019 - 2⁵ = 102121001999987 is a prime.

It is a super-2 number, since 2×102121002000019² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102121002000013) 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, 559792 + ... + 14302285.

It is an arithmetic number, because the mean of its divisors is an integer number (13516049319696).

Almost surely, 2^{102121002000019} is an apocalyptic number.

102121002000019 is a deficient number, since it is larger than the sum of its proper divisors (6007392557549).

102121002000019 is a wasteful number, since it uses less digits than its factorization.

102121002000019 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15266285.

The product of its (nonzero) digits is 72, while the sum is 19.

The spelling of 102121002000019 in words is "one hundred two trillion, one hundred twenty-one billion, two million, nineteen", and thus it is an aban number.