10011120210210 has 512 divisors, whose sum is σ = 30238050705408. Its totient is φ = 2069505884160.

The previous prime is 10011120210173. The next prime is 10011120210233. The reversal of 10011120210210 is 1201202111001.

It is a super-2 number, since 2×10011120210210² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2294547489 + ... + 2294551851.

It is an arithmetic number, because the mean of its divisors is an integer number (59058692784).

Almost surely, 2^{10011120210210} is an apocalyptic number.

10011120210210 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 10011120210210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15119025352704).

10011120210210 is an abundant number, since it is smaller than the sum of its proper divisors (20226930495198).

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

10011120210210 is a wasteful number, since it uses less digits than its factorization.

10011120210210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4698.

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

Adding to 10011120210210 its reverse (1201202111001), we get a palindrome (11212322321211).

The spelling of 10011120210210 in words is "ten trillion, eleven billion, one hundred twenty million, two hundred ten thousand, two hundred ten".