101220111221020 has 384 divisors, whose sum is σ = 238627710720000. Its totient is φ = 35759522304000.

The previous prime is 101220111221011. The next prime is 101220111221027. The reversal of 101220111221020 is 20122111022101.

It is a junction number, because it is equal to n+sod(n) for n = 101220111220985 and 101220111221003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101220111221027) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 165122530234 + ... + 165122530846.

It is an arithmetic number, because the mean of its divisors is an integer number (621426330000).

Almost surely, 2^{101220111221020} is an apocalyptic number.

101220111221020 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 101220111221020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119313855360000).

101220111221020 is an abundant number, since it is smaller than the sum of its proper divisors (137407599498980).

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

101220111221020 is a wasteful number, since it uses less digits than its factorization.

101220111221020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1389 (or 1387 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 101220111221020 its reverse (20122111022101), we get a palindrome (121342222243121).

It can be divided in two parts, 1012201 and 11221020, that added together give a palindrome (12233221).

The spelling of 101220111221020 in words is "one hundred one trillion, two hundred twenty billion, one hundred eleven million, two hundred twenty-one thousand, twenty".