101121002201112 has 32 divisors (see below), whose sum is σ = 252837818476800. Its totient is φ = 33702292337184.

The previous prime is 101121002201101. The next prime is 101121002201117. The reversal of 101121002201112 is 211102200121101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101121002201091 and 101121002201100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101121002201117) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 294099388 + ... + 294443019.

It is an arithmetic number, because the mean of its divisors is an integer number (7901181827400).

Almost surely, 2^{101121002201112} is an apocalyptic number.

101121002201112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101121002201112 is an abundant number, since it is smaller than the sum of its proper divisors (151716816275688).

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

101121002201112 is a wasteful number, since it uses less digits than its factorization.

101121002201112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588549575 (or 588549571 counting only the distinct ones).

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

Adding to 101121002201112 its reverse (211102200121101), we get a palindrome (312223202322213).

The spelling of 101121002201112 in words is "one hundred one trillion, one hundred twenty-one billion, two million, two hundred one thousand, one hundred twelve".