10211002101112 has 64 divisors (see below), whose sum is σ = 20449880524800. Its totient is φ = 4769230811520.

The previous prime is 10211002101109. The next prime is 10211002101119. The reversal of 10211002101112 is 21110120011201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10211002101092 and 10211002101101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10211002101119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28641183 + ... + 28995505.

It is an arithmetic number, because the mean of its divisors is an integer number (319529383200).

Almost surely, 2^{10211002101112} is an apocalyptic number.

It is an amenable number.

10211002101112 is an abundant number, since it is smaller than the sum of its proper divisors (10238878423688).

10211002101112 is a wasteful number, since it uses less digits than its factorization.

10211002101112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358396 (or 358392 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 10211002101112 its reverse (21110120011201), we get a palindrome (31321122112313).

The spelling of 10211002101112 in words is "ten trillion, two hundred eleven billion, two million, one hundred one thousand, one hundred twelve".