10120211212020 has 288 divisors, whose sum is σ = 35200831260672. Its totient is φ = 2127130596864.

The previous prime is 10120211212009. The next prime is 10120211212037. The reversal of 10120211212020 is 2021211202101.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18396679 + ... + 18938801.

It is an arithmetic number, because the mean of its divisors is an integer number (122225108544).

Almost surely, 2^{10120211212020} is an apocalyptic number.

10120211212020 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 10120211212020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17600415630336).

10120211212020 is an abundant number, since it is smaller than the sum of its proper divisors (25080620048652).

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

10120211212020 is a wasteful number, since it uses less digits than its factorization.

10120211212020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542431 (or 542416 counting only the distinct ones).

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

Adding to 10120211212020 its reverse (2021211202101), we get a palindrome (12141422414121).

The spelling of 10120211212020 in words is "ten trillion, one hundred twenty billion, two hundred eleven million, two hundred twelve thousand, twenty".