10200012000101 has 16 divisors (see below), whose sum is σ = 12790406176128. Its totient is φ = 7902118737600.

The previous prime is 10200012000047. The next prime is 10200012000109. The reversal of 10200012000101 is 10100021000201.

It is a cyclic number.

It is not a de Polignac number, because 10200012000101 - 2¹⁰ = 10200011999077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10200012000109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 382841270 + ... + 382867911.

It is an arithmetic number, because the mean of its divisors is an integer number (799400386008).

Almost surely, 2^{10200012000101} is an apocalyptic number.

10200012000101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10200012000101 is a deficient number, since it is larger than the sum of its proper divisors (2590394176027).

10200012000101 is a wasteful number, since it uses less digits than its factorization.

10200012000101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765709372.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10200012000101 its reverse (10100021000201), we get a palindrome (20300033000302).

The spelling of 10200012000101 in words is "ten trillion, two hundred billion, twelve million, one hundred one", and thus it is an aban number.