10201002121112 has 128 divisors (see below), whose sum is σ = 21818513203200. Its totient is φ = 4429002240000.

The previous prime is 10201002121091. The next prime is 10201002121159. The reversal of 10201002121112 is 21112120010201.

10201002121112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10201002121112² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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, 913980812 + ... + 913991972.

It is an arithmetic number, because the mean of its divisors is an integer number (170457134400).

Almost surely, 2^{10201002121112} 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 10201002121112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10909256601600).

10201002121112 is an abundant number, since it is smaller than the sum of its proper divisors (11617511082088).

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

10201002121112 is a wasteful number, since it uses less digits than its factorization.

10201002121112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15529 (or 15525 counting only the distinct ones).

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

Adding to 10201002121112 its reverse (21112120010201), we get a palindrome (31313122131313).

The spelling of 10201002121112 in words is "ten trillion, two hundred one billion, two million, one hundred twenty-one thousand, one hundred twelve".