10000102120983 has 32 divisors (see below), whose sum is σ = 15954833422080. Its totient is φ = 6153810818400.

The previous prime is 10000102120969. The next prime is 10000102121033. The reversal of 10000102120983 is 38902120100001.

It is not a de Polignac number, because 10000102120983 - 2⁶ = 10000102120919 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000102120483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26164408 + ... + 26543858.

It is an arithmetic number, because the mean of its divisors is an integer number (498588544440).

Almost surely, 2^{10000102120983} is an apocalyptic number.

10000102120983 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10000102120983 is a deficient number, since it is larger than the sum of its proper divisors (5954731301097).

10000102120983 is a wasteful number, since it uses less digits than its factorization.

10000102120983 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454556 (or 454550 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

Adding to 10000102120983 its reverse (38902120100001), we get a palindrome (48902222220984).

The spelling of 10000102120983 in words is "ten trillion, one hundred two million, one hundred twenty thousand, nine hundred eighty-three".