101220010120020 has 384 divisors, whose sum is σ = 315051871680000. Its totient is φ = 24077369344000.

The previous prime is 101220010119947. The next prime is 101220010120109. The reversal of 101220010120020 is 20021010022101.

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 = 101220010119978 and 101220010120005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4459609312 + ... + 4459632008.

It is an arithmetic number, because the mean of its divisors is an integer number (820447582500).

Almost surely, 2^{101220010120020} is an apocalyptic number.

101220010120020 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 101220010120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157525935840000).

101220010120020 is an abundant number, since it is smaller than the sum of its proper divisors (213831861559980).

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

101220010120020 is a wasteful number, since it uses less digits than its factorization.

101220010120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23419 (or 23417 counting only the distinct ones).

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

Adding to 101220010120020 its reverse (20021010022101), we get a palindrome (121241020142121).

The spelling of 101220010120020 in words is "one hundred one trillion, two hundred twenty billion, ten million, one hundred twenty thousand, twenty".