101221110202120 has 32 divisors (see below), whose sum is σ = 227755469577600. Its totient is φ = 40487026903488.

The previous prime is 101221110202103. The next prime is 101221110202253. The reversal of 101221110202120 is 21202011122101.

101221110202120 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×101221110202120³ (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101221110202094 and 101221110202103.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43129344 + ... + 45415663.

It is an arithmetic number, because the mean of its divisors is an integer number (7117358424300).

Almost surely, 2^{101221110202120} is an apocalyptic number.

101221110202120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101221110202120 is an abundant number, since it is smaller than the sum of its proper divisors (126534359375480).

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

101221110202120 is a wasteful number, since it uses less digits than its factorization.

101221110202120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88573597 (or 88573593 counting only the distinct ones).

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

Adding to 101221110202120 its reverse (21202011122101), we get a palindrome (122423121324221).

The spelling of 101221110202120 in words is "one hundred one trillion, two hundred twenty-one billion, one hundred ten million, two hundred two thousand, one hundred twenty".