101100220020 has 288 divisors, whose sum is σ = 334341955584. Its totient is φ = 24652742400.

The previous prime is 101100220003. The next prime is 101100220079. The reversal of 101100220020 is 20022001101.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 101100219984 and 101100220011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10647475 + ... + 10656965.

It is an arithmetic number, because the mean of its divisors is an integer number (1160909568).

Almost surely, 2^101100220020 is an apocalyptic number.

101100220020 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 101100220020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167170977792).

101100220020 is an abundant number, since it is smaller than the sum of its proper divisors (233241735564).

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

101100220020 is a wasteful number, since it uses less digits than its factorization.

101100220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9643 (or 9638 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 101100220020 its reverse (20022001101), we get a palindrome (121122221121).

It can be divided in two parts, 101 and 100220020, that added together give a square (100220121 = 10011²).

The spelling of 101100220020 in words is "one hundred one billion, one hundred million, two hundred twenty thousand, twenty".