100210121012001 has 384 divisors, whose sum is σ = 190570248064000. Its totient is φ = 46749358656000.

The previous prime is 100210121011997. The next prime is 100210121012009.

100210121012001 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 100210121012001 - 2² = 100210121011997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100210121012009) 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, 10121207151 + ... + 10121217051.

Almost surely, 2^{100210121012001} is an apocalyptic number.

100210121012001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100210121012001 is a deficient number, since it is larger than the sum of its proper divisors (90360127051999).

100210121012001 is an equidigital number, since it uses as much as digits as its factorization.

100210121012001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10023 (or 9972 counting only the distinct ones).

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

The spelling of 100210121012001 in words is "one hundred trillion, two hundred ten billion, one hundred twenty-one million, twelve thousand, one".