101011012222120 has 512 divisors, whose sum is σ = 323221439923200. Its totient is φ = 27342485913600.

The previous prime is 101011012222111. The next prime is 101011012222147. The reversal of 101011012222120 is 21222210110101.

It is a junction number, because it is equal to n+sod(n) for n = 101011012222094 and 101011012222103.

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, 1947399546 + ... + 1947451414.

It is an arithmetic number, because the mean of its divisors is an integer number (631291874850).

Almost surely, 2^{101011012222120} is an apocalyptic number.

101011012222120 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 101011012222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161610719961600).

101011012222120 is an abundant number, since it is smaller than the sum of its proper divisors (222210427701080).

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

101011012222120 is a wasteful number, since it uses less digits than its factorization.

101011012222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54789 (or 54785 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 101011012222120 its reverse (21222210110101), we get a palindrome (122233222332221).

The spelling of 101011012222120 in words is "one hundred one trillion, eleven billion, twelve million, two hundred twenty-two thousand, one hundred twenty".