100101102121002 has 32 divisors (see below), whose sum is σ = 201783656289600. Its totient is φ = 33103593020160.

The previous prime is 100101102120967. The next prime is 100101102121049. The reversal of 100101102121002 is 200121201101001.

100101102121002 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×100101102121002² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13806877 + ... + 19769472.

It is an arithmetic number, because the mean of its divisors is an integer number (6305739259050).

Almost surely, 2^{100101102121002} is an apocalyptic number.

100101102121002 is an abundant number, since it is smaller than the sum of its proper divisors (101682554168598).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100101102121002 is a wasteful number, since it uses less digits than its factorization.

100101102121002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33580278.

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

Adding to 100101102121002 its reverse (200121201101001), we get a palindrome (300222303222003).

The spelling of 100101102121002 in words is "one hundred trillion, one hundred one billion, one hundred two million, one hundred twenty-one thousand, two".