101002220220220 has 384 divisors, whose sum is σ = 256698554112000. Its totient is φ = 32949616803840.

The previous prime is 101002220220217. The next prime is 101002220220373. The reversal of 101002220220220 is 22022022200101.

It is a junction number, because it is equal to n+sod(n) for n = 101002220220194 and 101002220220203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15603614904 + ... + 15603621376.

It is an arithmetic number, because the mean of its divisors is an integer number (668485818000).

Almost surely, 2^{101002220220220} is an apocalyptic number.

101002220220220 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 101002220220220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128349277056000).

101002220220220 is an abundant number, since it is smaller than the sum of its proper divisors (155696333891780).

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

101002220220220 is a wasteful number, since it uses less digits than its factorization.

101002220220220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8133 (or 8131 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 101002220220220 its reverse (22022022200101), we get a palindrome (123024242420321).

The spelling of 101002220220220 in words is "one hundred one trillion, two billion, two hundred twenty million, two hundred twenty thousand, two hundred twenty".