10210120221120 has 224 divisors, whose sum is σ = 34534425703680. Its totient is φ = 2548321320960.

The previous prime is 10210120221107. The next prime is 10210120221131. The reversal of 10210120221120 is 2112202101201.

It is a super-4 number, since 4×10210120221120⁴ (a number of 53 digits) contains 4444 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10210120221120.

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, 1858161 + ... + 4886000.

It is an arithmetic number, because the mean of its divisors is an integer number (154171543320).

Almost surely, 2^{10210120221120} is an apocalyptic number.

10210120221120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10210120221120 is an abundant number, since it is smaller than the sum of its proper divisors (24324305482560).

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

10210120221120 is a wasteful number, since it uses less digits than its factorization.

10210120221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6744283 (or 6744273 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10210120221120 its reverse (2112202101201), we get a palindrome (12322322322321).

The spelling of 10210120221120 in words is "ten trillion, two hundred ten billion, one hundred twenty million, two hundred twenty-one thousand, one hundred twenty".