10210222120020 has 192 divisors, whose sum is σ = 32461051418880. Its totient is φ = 2377120960512.

The previous prime is 10210222119973. The next prime is 10210222120031. The reversal of 10210222120020 is 2002122201201.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8522712 + ... + 9646608.

It is an arithmetic number, because the mean of its divisors is an integer number (169067976140).

Almost surely, 2^{10210222120020} is an apocalyptic number.

10210222120020 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 10210222120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16230525709440).

10210222120020 is an abundant number, since it is smaller than the sum of its proper divisors (22250829298860).

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

10210222120020 is a wasteful number, since it uses less digits than its factorization.

10210222120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1124554 (or 1124552 counting only the distinct ones).

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

Adding to 10210222120020 its reverse (2002122201201), we get a palindrome (12212344321221).

The spelling of 10210222120020 in words is "ten trillion, two hundred ten billion, two hundred twenty-two million, one hundred twenty thousand, twenty".