101110212201020 has 192 divisors, whose sum is σ = 246711285596160. Its totient is φ = 34465233715200.

The previous prime is 101110212200999. The next prime is 101110212201049. The reversal of 101110212201020 is 20102212011101.

It is a super-2 number, since 2×101110212201020² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101110212200986 and 101110212201004.

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 63 ways as a sum of consecutive naturals, for example, 29466416 + ... + 32718344.

It is an arithmetic number, because the mean of its divisors is an integer number (1284954612480).

Almost surely, 2^{101110212201020} is an apocalyptic number.

101110212201020 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 101110212201020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123355642798080).

101110212201020 is an abundant number, since it is smaller than the sum of its proper divisors (145601073395140).

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

101110212201020 is a wasteful number, since it uses less digits than its factorization.

101110212201020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3252124 (or 3252122 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101110212201020 its reverse (20102212011101), we get a palindrome (121212424212121).

The spelling of 101110212201020 in words is "one hundred one trillion, one hundred ten billion, two hundred twelve million, two hundred one thousand, twenty".