10211201312 has 96 divisors (see below), whose sum is σ = 22838860800. Its totient is φ = 4455088128.

The previous prime is 10211201267. The next prime is 10211201353. The reversal of 10211201312 is 21310211201.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4559489 + ... + 4561727.

It is an arithmetic number, because the mean of its divisors is an integer number (237904800).

Almost surely, 2^10211201312 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 10211201312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11419430400).

10211201312 is an abundant number, since it is smaller than the sum of its proper divisors (12627659488).

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

10211201312 is a wasteful number, since it uses less digits than its factorization.

10211201312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2858 (or 2850 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 10211201312 its reverse (21310211201), we get a palindrome (31521412513).

The spelling of 10211201312 in words is "ten billion, two hundred eleven million, two hundred one thousand, three hundred twelve".