101000221212220 has 192 divisors, whose sum is σ = 238603776388992. Its totient is φ = 35603712000000.

The previous prime is 101000221212203. The next prime is 101000221212263. The reversal of 101000221212220 is 22212122000101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101000221212194 and 101000221212203.

It is a congruent number.

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, 221994970 + ... + 222449470.

It is an arithmetic number, because the mean of its divisors is an integer number (1242728002026).

Almost surely, 2^{101000221212220} is an apocalyptic number.

101000221212220 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 101000221212220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119301888194496).

101000221212220 is an abundant number, since it is smaller than the sum of its proper divisors (137603555176772).

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

101000221212220 is a wasteful number, since it uses less digits than its factorization.

101000221212220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454832 (or 454830 counting only the distinct ones).

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

Adding to 101000221212220 its reverse (22212122000101), we get a palindrome (123212343212321).

It can be divided in two parts, 1010002 and 21212220, that added together give a palindrome (22222222).

The spelling of 101000221212220 in words is "one hundred one trillion, two hundred twenty-one million, two hundred twelve thousand, two hundred twenty".