100100121001001 has 6 divisors (see below), whose sum is σ = 110027405728506. Its totient is φ = 91000110000800.

The previous prime is 100100121000989. The next prime is 100100121001081.

It is a happy number.

100100121001001 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 53138924226025 + 46961196774976 = 7289645^2 + 6852824^2 .

It is a de Polignac number, because none of the positive numbers 2^k-100100121001001 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 100100121001001.

It is not an unprimeable number, because it can be changed into a prime (100100121001081) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 413636863520 + ... + 413636863761.

It is an arithmetic number, because the mean of its divisors is an integer number (18337900954751).

Almost surely, 2^{100100121001001} is an apocalyptic number.

100100121001001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100100121001001 is a deficient number, since it is larger than the sum of its proper divisors (9927284727505).

100100121001001 is an equidigital number, since it uses as much as digits as its factorization.

100100121001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827273727303 (or 827273727292 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

The spelling of 100100121001001 in words is "one hundred trillion, one hundred billion, one hundred twenty-one million, one thousand, one".