100012121210001 has 384 divisors, whose sum is σ = 193650364293120. Its totient is φ = 44559028039680.

The previous prime is 100012121209967. The next prime is 100012121210017.

100012121210001 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 100012121210001 - 2¹⁴ = 100012121193617 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100012121210081) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 19199867085 + ... + 19199872293.

It is an arithmetic number, because the mean of its divisors is an integer number (504297823680).

Almost surely, 2^{100012121210001} is an apocalyptic number.

100012121210001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100012121210001 is a deficient number, since it is larger than the sum of its proper divisors (93638243083119).

100012121210001 is a wasteful number, since it uses less digits than its factorization.

100012121210001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5997 (or 5986 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

The spelling of 100012121210001 in words is "one hundred trillion, twelve billion, one hundred twenty-one million, two hundred ten thousand, one".