100101211212002 has 128 divisors (see below), whose sum is σ = 203925435936768. Its totient is φ = 35586870739200.

The previous prime is 100101211212001. The next prime is 100101211212029. The reversal of 100101211212002 is 200212112101001.

It is a super-2 number, since 2×100101211212002² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (100101211212001) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 114420977 + ... + 115292507.

It is an arithmetic number, because the mean of its divisors is an integer number (1593167468256).

Almost surely, 2^{100101211212002} is an apocalyptic number.

100101211212002 is an abundant number, since it is smaller than the sum of its proper divisors (103824224724766).

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

100101211212002 is a wasteful number, since it uses less digits than its factorization.

100101211212002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872224.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100101211212002 its reverse (200212112101001), we get a palindrome (300313323313003).

The spelling of 100101211212002 in words is "one hundred trillion, one hundred one billion, two hundred eleven million, two hundred twelve thousand, two".