101221102020 has 96 divisors (see below), whose sum is σ = 291172912128. Its totient is φ = 26254305792.

The previous prime is 101221101997. The next prime is 101221102033. The reversal of 101221102020 is 20201122101.

It is a super-2 number, since 2×101221102020² (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).

It is a junction number, because it is equal to n+sod(n) for n = 101221101987 and 101221102005.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9867214 + ... + 9877466.

It is an arithmetic number, because the mean of its divisors is an integer number (3033051168).

Almost surely, 2^101221102020 is an apocalyptic number.

101221102020 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 101221102020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145586456064).

101221102020 is an abundant number, since it is smaller than the sum of its proper divisors (189951810108).

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

101221102020 is a wasteful number, since it uses less digits than its factorization.

101221102020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14749 (or 14747 counting only the distinct ones).

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

Adding to 101221102020 its reverse (20201122101), we get a palindrome (121422224121).

The spelling of 101221102020 in words is "one hundred one billion, two hundred twenty-one million, one hundred two thousand, twenty".