10210212010020 has 192 divisors, whose sum is σ = 32264556532992. Its totient is φ = 2390922240000.

The previous prime is 10210212009997. The next prime is 10210212010049. The reversal of 10210212010020 is 2001021201201.

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 = 10210212009978 and 10210212010005.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 865152 + ... + 4600968.

It is an arithmetic number, because the mean of its divisors is an integer number (168044565276).

Almost surely, 2^{10210212010020} is an apocalyptic number.

10210212010020 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 10210212010020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16132278266496).

10210212010020 is an abundant number, since it is smaller than the sum of its proper divisors (22054344522972).

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

10210212010020 is a wasteful number, since it uses less digits than its factorization.

10210212010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3735982 (or 3735980 counting only the distinct ones).

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

Adding to 10210212010020 its reverse (2001021201201), we get a palindrome (12211233211221).

The spelling of 10210212010020 in words is "ten trillion, two hundred ten billion, two hundred twelve million, ten thousand, twenty".