100102040201001 has 16 divisors (see below), whose sum is σ = 137077568141184. Its totient is φ = 64930626561024.

The previous prime is 100102040200889. The next prime is 100102040201047.

It is a happy number.

100102040201001 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 100102040201001 - 2⁷ = 100102040200873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100102040201081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14471260 + ... + 20239106.

It is an arithmetic number, because the mean of its divisors is an integer number (8567348008824).

Almost surely, 2^{100102040201001} is an apocalyptic number.

It is an amenable number.

100102040201001 is a deficient number, since it is larger than the sum of its proper divisors (36975527940183).

100102040201001 is a wasteful number, since it uses less digits than its factorization.

100102040201001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5924240.

The product of its (nonzero) digits is 16, while the sum is 12.

The spelling of 100102040201001 in words is "one hundred trillion, one hundred two billion, forty million, two hundred one thousand, one".