10202101210112 has 132 divisors (see below), whose sum is σ = 23890076343120. Its totient is φ = 4265681879040.

The previous prime is 10202101210097. The next prime is 10202101210151. The reversal of 10202101210112 is 21101210120201.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11626064 + ... + 12472752.

Almost surely, 2^{10202101210112} 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 10202101210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11945038171560).

10202101210112 is an abundant number, since it is smaller than the sum of its proper divisors (13687975133008).

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

10202101210112 is an frugal number, since it uses more digits than its factorization.

10202101210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846798 (or 846739 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10202101210112 its reverse (21101210120201), we get a palindrome (31303311330313).

It can be divided in two parts, 1020210 and 1210112, that added together give a palindrome (2230322).

The spelling of 10202101210112 in words is "ten trillion, two hundred two billion, one hundred one million, two hundred ten thousand, one hundred twelve".