10210442311100 has 72 divisors (see below), whose sum is σ = 22758548755488. Its totient is φ = 3973259347200.

The previous prime is 10210442311093. The next prime is 10210442311117. The reversal of 10210442311100 is 111324401201.

It is a super-2 number, since 2×10210442311100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 23 ways as a sum of consecutive naturals, for example, 27904934 + ... + 28268466.

Almost surely, 2^{10210442311100} is an apocalyptic number.

10210442311100 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 10210442311100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11379274377744).

10210442311100 is an abundant number, since it is smaller than the sum of its proper divisors (12548106444388).

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

10210442311100 is a wasteful number, since it uses less digits than its factorization.

10210442311100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371175 (or 371168 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 10210442311100 its reverse (111324401201), we get a palindrome (10321766712301).

The spelling of 10210442311100 in words is "ten trillion, two hundred ten billion, four hundred forty-two million, three hundred eleven thousand, one hundred".