101001212012220 has 192 divisors, whose sum is σ = 312005081485440. Its totient is φ = 24253946265600.

The previous prime is 101001212012201. The next prime is 101001212012263. The reversal of 101001212012220 is 22210212100101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101001212012220.

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, 566884350 + ... + 567062490.

It is an arithmetic number, because the mean of its divisors is an integer number (1625026466070).

Almost surely, 2^{101001212012220} is an apocalyptic number.

101001212012220 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 101001212012220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156002540742720).

101001212012220 is an abundant number, since it is smaller than the sum of its proper divisors (211003869473220).

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

101001212012220 is a wasteful number, since it uses less digits than its factorization.

101001212012220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195936 (or 195934 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 101001212012220 its reverse (22210212100101), we get a palindrome (123211424112321).

The spelling of 101001212012220 in words is "one hundred one trillion, one billion, two hundred twelve million, twelve thousand, two hundred twenty".