10110200211020 has 768 divisors, whose sum is σ = 28670481100800. Its totient is φ = 2906198507520.

The previous prime is 10110200210953. The next prime is 10110200211043. The reversal of 10110200211020 is 2011200201101.

10110200211020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10110200211020² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10110200210992 and 10110200211010.

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, 31893375902 + ... + 31893376218.

It is an arithmetic number, because the mean of its divisors is an integer number (37331355600).

Almost surely, 2^{10110200211020} is an apocalyptic number.

10110200211020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10110200211020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14335240550400).

10110200211020 is an abundant number, since it is smaller than the sum of its proper divisors (18560280889780).

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

10110200211020 is a wasteful number, since it uses less digits than its factorization.

10110200211020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738 (or 736 counting only the distinct ones).

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

Adding to 10110200211020 its reverse (2011200201101), we get a palindrome (12121400412121).

The spelling of 10110200211020 in words is "ten trillion, one hundred ten billion, two hundred million, two hundred eleven thousand, twenty".