102102012002001 has 32 divisors (see below), whose sum is σ = 150227977591296. Its totient is φ = 61168699904000.

The previous prime is 102102012001987. The next prime is 102102012002057. The reversal of 102102012002001 is 100200210201201.

It is a cyclic number.

It is not a de Polignac number, because 102102012002001 - 2¹⁰ = 102102012000977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102102012012001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44839035 + ... + 47061056.

It is an arithmetic number, because the mean of its divisors is an integer number (4694624299728).

Almost surely, 2^{102102012002001} is an apocalyptic number.

102102012002001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102102012002001 is a deficient number, since it is larger than the sum of its proper divisors (48125965589295).

102102012002001 is a wasteful number, since it uses less digits than its factorization.

102102012002001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91900493.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102102012002001 its reverse (100200210201201), we get a palindrome (202302222203202).

The spelling of 102102012002001 in words is "one hundred two trillion, one hundred two billion, twelve million, two thousand, one".