100010221001012 has 72 divisors (see below), whose sum is σ = 205697005694208. Its totient is φ = 42418439078400.

The previous prime is 100010221001011. The next prime is 100010221001023. The reversal of 100010221001012 is 210100122010001.

It is a junction number, because it is equal to n+sod(n) for n = 100010221000984 and 100010221001002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100010221001011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1051905437 + ... + 1052000507.

It is an arithmetic number, because the mean of its divisors is an integer number (2856902856864).

Almost surely, 2^{100010221001012} is an apocalyptic number.

It is an amenable number.

100010221001012 is an abundant number, since it is smaller than the sum of its proper divisors (105686784693196).

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

100010221001012 is a wasteful number, since it uses less digits than its factorization.

100010221001012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150517 (or 150508 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100010221001012 its reverse (210100122010001), we get a palindrome (310110343011013).

The spelling of 100010221001012 in words is "one hundred trillion, ten billion, two hundred twenty-one million, one thousand, twelve".