10211020210048 has 96 divisors (see below), whose sum is σ = 23668265158560. Its totient is φ = 4375261642752.

The previous prime is 10211020210037. The next prime is 10211020210049. The reversal of 10211020210048 is 84001202011201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10211020210049) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31153065 + ... + 31479127.

It is an arithmetic number, because the mean of its divisors is an integer number (246544428735).

Almost surely, 2^{10211020210048} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10211020210048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11834132579280).

10211020210048 is an abundant number, since it is smaller than the sum of its proper divisors (13457244948512).

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

10211020210048 is an equidigital number, since it uses as much as digits as its factorization.

10211020210048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331084 (or 331065 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 22.

Adding to 10211020210048 its reverse (84001202011201), we get a palindrome (94212222221249).

The spelling of 10211020210048 in words is "ten trillion, two hundred eleven billion, twenty million, two hundred ten thousand, forty-eight".