101221012002220 has 192 divisors, whose sum is σ = 234831294996480. Its totient is φ = 36344306073600.

The previous prime is 101221012002163. The next prime is 101221012002239. The reversal of 101221012002220 is 22200210122101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101221012002194 and 101221012002203.

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, 3214472236 + ... + 3214503724.

It is an arithmetic number, because the mean of its divisors is an integer number (1223079661440).

Almost surely, 2^{101221012002220} is an apocalyptic number.

101221012002220 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 101221012002220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117415647498240).

101221012002220 is an abundant number, since it is smaller than the sum of its proper divisors (133610282994260).

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

101221012002220 is a wasteful number, since it uses less digits than its factorization.

101221012002220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32264 (or 32262 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 101221012002220 its reverse (22200210122101), we get a palindrome (123421222124321).

The spelling of 101221012002220 in words is "one hundred one trillion, two hundred twenty-one billion, twelve million, two thousand, two hundred twenty".