10002100121012 has 6 divisors (see below), whose sum is σ = 17503675211778. Its totient is φ = 5001050060504.

The previous prime is 10002100120981. The next prime is 10002100121053. The reversal of 10002100121012 is 21012100120001.

It can be written as a sum of positive squares in only one way, i.e., 5234925696016 + 4767174424996 = 2287996^2 + 2183386^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10002100120984 and 10002100121002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1250262515123 + ... + 1250262515130.

It is an arithmetic number, because the mean of its divisors is an integer number (2917279201963).

Almost surely, 2^{10002100121012} is an apocalyptic number.

It is an amenable number.

10002100121012 is a deficient number, since it is larger than the sum of its proper divisors (7501575090766).

10002100121012 is a wasteful number, since it uses less digits than its factorization.

10002100121012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2500525030257 (or 2500525030255 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10002100121012 its reverse (21012100120001), we get a palindrome (31014200241013).

The spelling of 10002100121012 in words is "ten trillion, two billion, one hundred million, one hundred twenty-one thousand, twelve".