101220202020 has 192 divisors, whose sum is σ = 328626708480. Its totient is φ = 22799881728.

The previous prime is 101220201991. The next prime is 101220202021. The reversal of 101220202020 is 20202022101.

It is a super-2 number, since 2×101220202020² (a number of 23 digits) contains 22 as substring.

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

101220202020 is a modest number, since divided by 202020 gives 101220 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 101220201987 and 101220202005.

It is not an unprimeable number, because it can be changed into a prime (101220202021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19474062 + ... + 19479258.

It is an arithmetic number, because the mean of its divisors is an integer number (1711597440).

Almost surely, 2^101220202020 is an apocalyptic number.

101220202020 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 101220202020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164313354240).

101220202020 is an abundant number, since it is smaller than the sum of its proper divisors (227406506460).

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

101220202020 is a wasteful number, since it uses less digits than its factorization.

101220202020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5882 (or 5880 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 101220202020 its reverse (20202022101), we get a palindrome (121422224121).

The spelling of 101220202020 in words is "one hundred one billion, two hundred twenty million, two hundred two thousand, twenty".