101221211320 has 64 divisors (see below), whose sum is σ = 231747220800. Its totient is φ = 39778990080.

The previous prime is 101221211279. The next prime is 101221211341. The reversal of 101221211320 is 23112122101.

It is a super-2 number, since 2×101221211320² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101221211294 and 101221211303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2140896 + ... + 2187664.

It is an arithmetic number, because the mean of its divisors is an integer number (3621050325).

Almost surely, 2^101221211320 is an apocalyptic number.

101221211320 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 101221211320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115873610400).

101221211320 is an abundant number, since it is smaller than the sum of its proper divisors (130526009480).

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

101221211320 is a wasteful number, since it uses less digits than its factorization.

101221211320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47728 (or 47724 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 101221211320 its reverse (23112122101), we get a palindrome (124333333421).

The spelling of 101221211320 in words is "one hundred one billion, two hundred twenty-one million, two hundred eleven thousand, three hundred twenty".