10211012420312 has 64 divisors (see below), whose sum is σ = 21309279132960. Its totient is φ = 4547582208000.

The previous prime is 10211012420311. The next prime is 10211012420333. The reversal of 10211012420312 is 21302421011201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10211012420311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1925312 + ... + 4912112.

Almost surely, 2^{10211012420312} 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 10211012420312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10654639566480).

10211012420312 is an abundant number, since it is smaller than the sum of its proper divisors (11098266712648).

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

10211012420312 is a wasteful number, since it uses less digits than its factorization.

10211012420312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2987604 (or 2987600 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 10211012420312 its reverse (21302421011201), we get a palindrome (31513433431513).

The spelling of 10211012420312 in words is "ten trillion, two hundred eleven billion, twelve million, four hundred twenty thousand, three hundred twelve".