10120221001020 has 192 divisors, whose sum is σ = 33519113671680. Its totient is φ = 2257409544192.

The previous prime is 10120221000983. The next prime is 10120221001057. The reversal of 10120221001020 is 2010012202101.

It is an interprime number because it is at equal distance from previous prime (10120221000983) and next prime (10120221001057).

It is a super-3 number, since 3×10120221001020³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10120221000987 and 10120221001005.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 14504269 + ... + 15185988.

It is an arithmetic number, because the mean of its divisors is an integer number (174578717040).

Almost surely, 2^{10120221001020} is an apocalyptic number.

10120221001020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10120221001020 is an abundant number, since it is smaller than the sum of its proper divisors (23398892670660).

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

10120221001020 is a wasteful number, since it uses less digits than its factorization.

10120221001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29690324 (or 29690322 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10120221001020 its reverse (2010012202101), we get a palindrome (12130233203121).

The spelling of 10120221001020 in words is "ten trillion, one hundred twenty billion, two hundred twenty-one million, one thousand, twenty".