10211022002112 has 112 divisors (see below), whose sum is σ = 27054543300000. Its totient is φ = 3398905036800.

The previous prime is 10211022002107. The next prime is 10211022002117. The reversal of 10211022002112 is 21120022011201.

It is an interprime number because it is at equal distance from previous prime (10211022002107) and next prime (10211022002117).

It is a junction number, because it is equal to n+sod(n) for n = 10211022002091 and 10211022002100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10211022002117) 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, 429004612 + ... + 429028412.

Almost surely, 2^{10211022002112} is an apocalyptic number.

10211022002112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10211022002112 is an abundant number, since it is smaller than the sum of its proper divisors (16843521297888).

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

10211022002112 is a wasteful number, since it uses less digits than its factorization.

10211022002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26854 (or 26844 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10211022002112 its reverse (21120022011201), we get a palindrome (31331044013313).

The spelling of 10211022002112 in words is "ten trillion, two hundred eleven billion, twenty-two million, two thousand, one hundred twelve".