10201011221112 has 128 divisors (see below), whose sum is σ = 26491461998400. Its totient is φ = 3270597378048.

The previous prime is 10201011221099. The next prime is 10201011221129. The reversal of 10201011221112 is 21112211010201.

It is a happy number.

10201011221112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10201011221091 and 10201011221100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 517886848 + ... + 517906544.

Almost surely, 2^{10201011221112} is an apocalyptic number.

10201011221112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10201011221112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13245730999200).

10201011221112 is an abundant number, since it is smaller than the sum of its proper divisors (16290450777288).

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

10201011221112 is a wasteful number, since it uses less digits than its factorization.

10201011221112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26385 (or 26381 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 10201011221112 its reverse (21112211010201), we get a palindrome (31313222231313).

The spelling of 10201011221112 in words is "ten trillion, two hundred one billion, eleven million, two hundred twenty-one thousand, one hundred twelve".