101110210221020 has 576 divisors, whose sum is σ = 292190477040000. Its totient is φ = 29061342535680.

The previous prime is 101110210221017. The next prime is 101110210221121. The reversal of 101110210221020 is 20122012011101.

It is a super-2 number, since 2×101110210221020² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 101110210220986 and 101110210221004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 36780722606 + ... + 36780725354.

It is an arithmetic number, because the mean of its divisors is an integer number (507275133750).

Almost surely, 2^{101110210221020} is an apocalyptic number.

101110210221020 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 101110210221020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146095238520000).

101110210221020 is an abundant number, since it is smaller than the sum of its proper divisors (191080266818980).

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

101110210221020 is a wasteful number, since it uses less digits than its factorization.

101110210221020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4375 (or 4340 counting only the distinct ones).

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

Adding to 101110210221020 its reverse (20122012011101), we get a palindrome (121232222232121).

The spelling of 101110210221020 in words is "one hundred one trillion, one hundred ten billion, two hundred ten million, two hundred twenty-one thousand, twenty".