10201020210112 has 56 divisors (see below), whose sum is σ = 20489364050400. Its totient is φ = 5038453702656.

The previous prime is 10201020210107. The next prime is 10201020210133. The reversal of 10201020210112 is 21101202010201.

It is a super-2 number, since 2×10201020210112² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10201020210092 and 10201020210101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5212464 + ... + 6897232.

It is an arithmetic number, because the mean of its divisors is an integer number (365881500900).

Almost surely, 2^{10201020210112} 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 10201020210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10244682025200).

10201020210112 is an abundant number, since it is smaller than the sum of its proper divisors (10288343840288).

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

10201020210112 is a wasteful number, since it uses less digits than its factorization.

10201020210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1685933 (or 1685923 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10201020210112 its reverse (21101202010201), we get a palindrome (31302222220313).

The spelling of 10201020210112 in words is "ten trillion, two hundred one billion, twenty million, two hundred ten thousand, one hundred twelve".