101220101002020 has 1152 divisors, whose sum is σ = 398125459210752. Its totient is φ = 18874404864000.

The previous prime is 101220101002003. The next prime is 101220101002021. The reversal of 101220101002020 is 20200101022101.

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 = 101220101001987 and 101220101002005.

It is not an unprimeable number, because it can be changed into a prime (101220101002021) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 28015525734 + ... + 28015529346.

It is an arithmetic number, because the mean of its divisors is an integer number (345595016676).

Almost surely, 2^{101220101002020} is an apocalyptic number.

101220101002020 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 101220101002020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199062729605376).

101220101002020 is an abundant number, since it is smaller than the sum of its proper divisors (296905358208732).

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

101220101002020 is a wasteful number, since it uses less digits than its factorization.

101220101002020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5501 (or 5492 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101220101002020 its reverse (20200101022101), we get a palindrome (121420202024121).

The spelling of 101220101002020 in words is "one hundred one trillion, two hundred twenty billion, one hundred one million, two thousand, twenty".