100012000210001 has 36 divisors (see below), whose sum is σ = 112262196987108. Its totient is φ = 89010170092800.

The previous prime is 100012000209997. The next prime is 100012000210019.

100012000210001 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 57761155205776 + 42250845004225 = 7600076^2 + 6500065^2 .

It is not a de Polignac number, because 100012000210001 - 2² = 100012000209997 is a prime.

It is a super-4 number, since 4×100012000210001⁴ (a number of 57 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100012000210081) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11001205466 + ... + 11001214556.

It is an arithmetic number, because the mean of its divisors is an integer number (3118394360753).

Almost surely, 2^{100012000210001} is an apocalyptic number.

100012000210001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100012000210001 is a deficient number, since it is larger than the sum of its proper divisors (12250196777107).

100012000210001 is an frugal number, since it uses more digits than its factorization.

100012000210001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18414 (or 9312 counting only the distinct ones).

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

It can be divided in two parts, 100012000 and 210001, that added together give a palindrome (100222001).

The spelling of 100012000210001 in words is "one hundred trillion, twelve billion, two hundred ten thousand, one".