10201110220002 has 64 divisors (see below), whose sum is σ = 22346725968000. Its totient is φ = 3085285593600.

The previous prime is 10201110219983. The next prime is 10201110220009. The reversal of 10201110220002 is 20002201110201.

It is a self number, because there is not a number n which added to its sum of digits gives 10201110220002.

It is not an unprimeable number, because it can be changed into a prime (10201110220009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6417102 + ... + 7847382.

It is an arithmetic number, because the mean of its divisors is an integer number (349167593250).

Almost surely, 2^{10201110220002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10201110220002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11173362984000).

10201110220002 is an abundant number, since it is smaller than the sum of its proper divisors (12145615747998).

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

10201110220002 is a wasteful number, since it uses less digits than its factorization.

10201110220002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1431859.

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

Adding to 10201110220002 its reverse (20002201110201), we get a palindrome (30203311330203).

The spelling of 10201110220002 in words is "ten trillion, two hundred one billion, one hundred ten million, two hundred twenty thousand, two".