10211212002112 has 448 divisors, whose sum is σ = 24654354186240. Its totient is φ = 4141906329600.

The previous prime is 10211212002107. The next prime is 10211212002127. The reversal of 10211212002112 is 21120021211201.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

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, 4015418313 + ... + 4015420855.

Almost surely, 2^{10211212002112} 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 10211212002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12327177093120).

10211212002112 is an abundant number, since it is smaller than the sum of its proper divisors (14443142184128).

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

10211212002112 is a wasteful number, since it uses less digits than its factorization.

10211212002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2830 (or 2820 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 10211212002112 its reverse (21120021211201), we get a palindrome (31331233213313).

The spelling of 10211212002112 in words is "ten trillion, two hundred eleven billion, two hundred twelve million, two thousand, one hundred twelve".