101100110021020 has 192 divisors, whose sum is σ = 245253289881600. Its totient is φ = 34661548938240.

The previous prime is 101100110020993. The next prime is 101100110021047. The reversal of 101100110021020 is 20120011001101.

It is an interprime number because it is at equal distance from previous prime (101100110020993) and next prime (101100110021047).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 101100110020988 and 101100110021006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 131254534 + ... + 132022546.

It is an arithmetic number, because the mean of its divisors is an integer number (1277360884800).

Almost surely, 2^{101100110021020} is an apocalyptic number.

101100110021020 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 101100110021020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122626644940800).

101100110021020 is an abundant number, since it is smaller than the sum of its proper divisors (144153179860580).

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

101100110021020 is a wasteful number, since it uses less digits than its factorization.

101100110021020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768548 (or 768546 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 101100110021020 its reverse (20120011001101), we get a palindrome (121220121022121).

The spelling of 101100110021020 in words is "one hundred one trillion, one hundred billion, one hundred ten million, twenty-one thousand, twenty".