10100202112 has 256 divisors, whose sum is σ = 28611636480. Its totient is φ = 3418030080.

The previous prime is 10100202097. The next prime is 10100202121. The reversal of 10100202112 is 21120200101.

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, 2175858 + ... + 2180494.

It is an arithmetic number, because the mean of its divisors is an integer number (111764205).

Almost surely, 2^10100202112 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 10100202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14305818240).

10100202112 is an abundant number, since it is smaller than the sum of its proper divisors (18511434368).

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

10100202112 is a wasteful number, since it uses less digits than its factorization.

10100202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4699 (or 4687 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10100202112 its reverse (21120200101), we get a palindrome (31220402213).

It can be divided in two parts, 10100 and 202112, that added together give a palindrome (212212).

The spelling of 10100202112 in words is "ten billion, one hundred million, two hundred two thousand, one hundred twelve".