101102121021220 has 192 divisors, whose sum is σ = 245412816574464. Its totient is φ = 34648704000000.

The previous prime is 101102121021193. The next prime is 101102121021233. The reversal of 101102121021220 is 22120121201101.

101102121021220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 101102121021194 and 101102121021203.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40814940 + ... + 43221100.

It is an arithmetic number, because the mean of its divisors is an integer number (1278191752992).

Almost surely, 2^{101102121021220} is an apocalyptic number.

101102121021220 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 101102121021220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122706408287232).

101102121021220 is an abundant number, since it is smaller than the sum of its proper divisors (144310695553244).

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

101102121021220 is a wasteful number, since it uses less digits than its factorization.

101102121021220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2406374 (or 2406372 counting only the distinct ones).

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

Adding to 101102121021220 its reverse (22120121201101), we get a palindrome (123222242222321).

The spelling of 101102121021220 in words is "one hundred one trillion, one hundred two billion, one hundred twenty-one million, twenty-one thousand, two hundred twenty".