101202221010220 has 144 divisors (see below), whose sum is σ = 236239295108544. Its totient is φ = 36386260416000.

The previous prime is 101202221010181. The next prime is 101202221010221. The reversal of 101202221010220 is 22010122202101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101202221010194 and 101202221010203.

It is not an unprimeable number, because it can be changed into a prime (101202221010221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 177408574 + ... + 177978106.

It is an arithmetic number, because the mean of its divisors is an integer number (1640550660476).

Almost surely, 2^{101202221010220} is an apocalyptic number.

101202221010220 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 101202221010220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118119647554272).

101202221010220 is an abundant number, since it is smaller than the sum of its proper divisors (135037074098324).

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

101202221010220 is a wasteful number, since it uses less digits than its factorization.

101202221010220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570392 (or 570379 counting only the distinct ones).

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

Adding to 101202221010220 its reverse (22010122202101), we get a palindrome (123212343212321).

The spelling of 101202221010220 in words is "one hundred one trillion, two hundred two billion, two hundred twenty-one million, ten thousand, two hundred twenty".