101101100122020 has 192 divisors, whose sum is σ = 291478118400000. Its totient is φ = 26164552296960.

The previous prime is 101101100121991. The next prime is 101101100122051. The reversal of 101101100122020 is 20221001101101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 101101100121987 and 101101100122005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2178926781 + ... + 2178973179.

It is an arithmetic number, because the mean of its divisors is an integer number (1518115200000).

Almost surely, 2^{101101100122020} is an apocalyptic number.

101101100122020 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 101101100122020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145739059200000).

101101100122020 is an abundant number, since it is smaller than the sum of its proper divisors (190377018277980).

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

101101100122020 is a wasteful number, since it uses less digits than its factorization.

101101100122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48938 (or 48936 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101101100122020 its reverse (20221001101101), we get a palindrome (121322101223121).

The spelling of 101101100122020 in words is "one hundred one trillion, one hundred one billion, one hundred million, one hundred twenty-two thousand, twenty".