10021101011112 has 64 divisors (see below), whose sum is σ = 25664503939200. Its totient is φ = 3258804648960.

The previous prime is 10021101011111. The next prime is 10021101011113. The reversal of 10021101011112 is 21111010112001.

It is an interprime number because it is at equal distance from previous prime (10021101011111) and next prime (10021101011113).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (10021101011111) 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, 41894589 + ... + 42133107.

It is an arithmetic number, because the mean of its divisors is an integer number (401007874050).

Almost surely, 2^{10021101011112} is an apocalyptic number.

10021101011112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10021101011112 is an abundant number, since it is smaller than the sum of its proper divisors (15643402928088).

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

10021101011112 is a wasteful number, since it uses less digits than its factorization.

10021101011112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281266 (or 281262 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 10021101011112 its reverse (21111010112001), we get a palindrome (31132111123113).

The spelling of 10021101011112 in words is "ten trillion, twenty-one billion, one hundred one million, eleven thousand, one hundred twelve".