10201221971028 has 60 divisors (see below), whose sum is σ = 29092373779392. Its totient is φ = 3091279384080.

The previous prime is 10201221971011. The next prime is 10201221971029. The reversal of 10201221971028 is 82017912210201.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10201221970983 and 10201221971001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201221971029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1431144300 + ... + 1431151427.

Almost surely, 2^{10201221971028} is an apocalyptic number.

10201221971028 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10201221971028 is an abundant number, since it is smaller than the sum of its proper divisors (18891151808364).

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

10201221971028 is a wasteful number, since it uses less digits than its factorization.

10201221971028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2862295754 (or 2862295743 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The spelling of 10201221971028 in words is "ten trillion, two hundred one billion, two hundred twenty-one million, nine hundred seventy-one thousand, twenty-eight".