10201120121112 has 128 divisors (see below), whose sum is σ = 26242180070400. Its totient is φ = 3302554291200.

The previous prime is 10201120121111. The next prime is 10201120121119. The reversal of 10201120121112 is 21112102110201.

It is a happy number.

It is a super-2 number, since 2×10201120121112² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10201120121091 and 10201120121100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201120121111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 348515214 + ... + 348544482.

It is an arithmetic number, because the mean of its divisors is an integer number (205017031800).

Almost surely, 2^{10201120121112} is an apocalyptic number.

10201120121112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10201120121112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13121090035200).

10201120121112 is an abundant number, since it is smaller than the sum of its proper divisors (16041059949288).

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

10201120121112 is a wasteful number, since it uses less digits than its factorization.

10201120121112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30897 (or 30893 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 10201120121112 its reverse (21112102110201), we get a palindrome (31313222231313).

The spelling of 10201120121112 in words is "ten trillion, two hundred one billion, one hundred twenty million, one hundred twenty-one thousand, one hundred twelve".