101121020211112 has 128 divisors (see below), whose sum is σ = 221237628393600. Its totient is φ = 42819646464000.

The previous prime is 101121020211109. The next prime is 101121020211137. The reversal of 101121020211112 is 211112020121101.

101121020211112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×101121020211112² (a number of 29 digits) contains 22 as substring.

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, 533122963 + ... + 533312605.

It is an arithmetic number, because the mean of its divisors is an integer number (1728418971825).

Almost surely, 2^{101121020211112} 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 101121020211112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110618814196800).

101121020211112 is an abundant number, since it is smaller than the sum of its proper divisors (120116608182488).

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

101121020211112 is a wasteful number, since it uses less digits than its factorization.

101121020211112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193307 (or 193303 counting only the distinct ones).

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

Adding to 101121020211112 its reverse (211112020121101), we get a palindrome (312233040332213).

The spelling of 101121020211112 in words is "one hundred one trillion, one hundred twenty-one billion, twenty million, two hundred eleven thousand, one hundred twelve".