100201002221012 has 144 divisors (see below), whose sum is σ = 233284066049664. Its totient is φ = 36735036518400.

The previous prime is 100201002220997. The next prime is 100201002221017. The reversal of 100201002221012 is 210122200102001.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100201002221017) 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, 271726463 + ... + 272094969.

It is an arithmetic number, because the mean of its divisors is an integer number (1620028236456).

Almost surely, 2^{100201002221012} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100201002221012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116642033024832).

100201002221012 is an abundant number, since it is smaller than the sum of its proper divisors (133083063828652).

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

100201002221012 is a wasteful number, since it uses less digits than its factorization.

100201002221012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373278 (or 373265 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 100201002221012 its reverse (210122200102001), we get a palindrome (310323202323013).

The spelling of 100201002221012 in words is "one hundred trillion, two hundred one billion, two million, two hundred twenty-one thousand, twelve".