10200222021012 has 96 divisors (see below), whose sum is σ = 24788224204800. Its totient is φ = 3260570544000.

The previous prime is 10200222020953. The next prime is 10200222021053. The reversal of 10200222021012 is 21012022200201.

It is a junction number, because it is equal to n+sod(n) for n = 10200222020982 and 10200222021000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 461307837 + ... + 461329947.

It is an arithmetic number, because the mean of its divisors is an integer number (258210668800).

Almost surely, 2^{10200222021012} is an apocalyptic number.

10200222021012 is a gapful number since it is divisible by the number (12) 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 10200222021012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12394112102400).

10200222021012 is an abundant number, since it is smaller than the sum of its proper divisors (14588002183788).

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

10200222021012 is a wasteful number, since it uses less digits than its factorization.

10200222021012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31077 (or 31075 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 10200222021012 its reverse (21012022200201), we get a palindrome (31212244221213).

The spelling of 10200222021012 in words is "ten trillion, two hundred billion, two hundred twenty-two million, twenty-one thousand, twelve".