10211210200048 has 160 divisors (see below), whose sum is σ = 24470298800640. Its totient is φ = 4058267028480.

The previous prime is 10211210200031. The next prime is 10211210200049. The reversal of 10211210200048 is 84000201211201.

10211210200048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10211210200049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 334153986 + ... + 334184542.

It is an arithmetic number, because the mean of its divisors is an integer number (152939367504).

Almost surely, 2^{10211210200048} 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 10211210200048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12235149400320).

10211210200048 is an abundant number, since it is smaller than the sum of its proper divisors (14259088600592).

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

10211210200048 is a wasteful number, since it uses less digits than its factorization.

10211210200048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38295 (or 38289 counting only the distinct ones).

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

Adding to 10211210200048 its reverse (84000201211201), we get a palindrome (94211411411249).

The spelling of 10211210200048 in words is "ten trillion, two hundred eleven billion, two hundred ten million, two hundred thousand, forty-eight".