101002222101220 has 192 divisors, whose sum is σ = 244833813504000. Its totient is φ = 34613853120000.

The previous prime is 101002222101173. The next prime is 101002222101223. The reversal of 101002222101220 is 22101222200101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101002222101194 and 101002222101203.

It is not an unprimeable number, because it can be changed into a prime (101002222101223) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8210889070 + ... + 8210901370.

It is an arithmetic number, because the mean of its divisors is an integer number (1275176112000).

Almost surely, 2^{101002222101220} is an apocalyptic number.

101002222101220 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 101002222101220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122416906752000).

101002222101220 is an abundant number, since it is smaller than the sum of its proper divisors (143831591402780).

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

101002222101220 is a wasteful number, since it uses less digits than its factorization.

101002222101220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22410 (or 22408 counting only the distinct ones).

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

Adding to 101002222101220 its reverse (22101222200101), we get a palindrome (123103444301321).

It can be divided in two parts, 101002 and 222101220, that added together give a palindrome (222202222).

The spelling of 101002222101220 in words is "one hundred one trillion, two billion, two hundred twenty-two million, one hundred one thousand, two hundred twenty".