10201102021110 has 512 divisors, whose sum is σ = 34094864756736. Its totient is φ = 1884902400000.

The previous prime is 10201102021109. The next prime is 10201102021157. The reversal of 10201102021110 is 1112020110201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 112176660 + ... + 112267560.

It is an arithmetic number, because the mean of its divisors is an integer number (66591532728).

Almost surely, 2^{10201102021110} is an apocalyptic number.

10201102021110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10201102021110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17047432378368).

10201102021110 is an abundant number, since it is smaller than the sum of its proper divisors (23893762735626).

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

10201102021110 is a wasteful number, since it uses less digits than its factorization.

10201102021110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91080.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10201102021110 its reverse (1112020110201), we get a palindrome (11313122131311).

The spelling of 10201102021110 in words is "ten trillion, two hundred one billion, one hundred two million, twenty-one thousand, one hundred ten".