100012001302101 has 64 divisors (see below), whose sum is σ = 156173419008000. Its totient is φ = 55756603584000.

The previous prime is 100012001302097. The next prime is 100012001302111. The reversal of 100012001302101 is 101203100210001.

It is not a de Polignac number, because 100012001302101 - 2² = 100012001302097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100012001302111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40861446 + ... + 43239816.

It is an arithmetic number, because the mean of its divisors is an integer number (2440209672000).

Almost surely, 2^{100012001302101} is an apocalyptic number.

It is an amenable number.

100012001302101 is a deficient number, since it is larger than the sum of its proper divisors (56161417705899).

100012001302101 is a wasteful number, since it uses less digits than its factorization.

100012001302101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2378770.

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

Adding to 100012001302101 its reverse (101203100210001), we get a palindrome (201215101512102).

The spelling of 100012001302101 in words is "one hundred trillion, twelve billion, one million, three hundred two thousand, one hundred one".