100101202012002 has 96 divisors (see below), whose sum is σ = 217436316622848. Its totient is φ = 30702211755264.

The previous prime is 100101202012001. The next prime is 100101202012003. The reversal of 100101202012002 is 200210202101001.

It is an interprime number because it is at equal distance from previous prime (100101202012001) and next prime (100101202012003).

It is not an unprimeable number, because it can be changed into a prime (100101202012001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73241583 + ... + 74595789.

It is an arithmetic number, because the mean of its divisors is an integer number (2264961631488).

Almost surely, 2^{100101202012002} is an apocalyptic number.

100101202012002 is an abundant number, since it is smaller than the sum of its proper divisors (117335114610846).

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

100101202012002 is a wasteful number, since it uses less digits than its factorization.

100101202012002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1355200 (or 1355183 counting only the distinct ones).

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

Adding to 100101202012002 its reverse (200210202101001), we get a palindrome (300311404113003).

The spelling of 100101202012002 in words is "one hundred trillion, one hundred one billion, two hundred two million, twelve thousand, two".