102000120212001 has 32 divisors (see below), whose sum is σ = 156173557593600. Its totient is φ = 58564240548480.

The previous prime is 102000120211993. The next prime is 102000120212021. The reversal of 102000120212001 is 100212021000201.

It is not a de Polignac number, because 102000120212001 - 2³ = 102000120211993 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (102000120212021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100422250 + ... + 101432876.

It is an arithmetic number, because the mean of its divisors is an integer number (4880423674800).

Almost surely, 2^{102000120212001} is an apocalyptic number.

102000120212001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102000120212001 is a deficient number, since it is larger than the sum of its proper divisors (54173437381599).

102000120212001 is a wasteful number, since it uses less digits than its factorization.

102000120212001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1171629.

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

Adding to 102000120212001 its reverse (100212021000201), we get a palindrome (202212141212202).

The spelling of 102000120212001 in words is "one hundred two trillion, one hundred twenty million, two hundred twelve thousand, one".