101101002201120 has 96 divisors (see below), whose sum is σ = 318560498524800. Its totient is φ = 26952449976320.

The previous prime is 101101002201097. The next prime is 101101002201137. The reversal of 101101002201120 is 21102200101101.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 101101002201096 and 101101002201105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28878996 + ... + 32190035.

It is an arithmetic number, because the mean of its divisors is an integer number (3318338526300).

Almost surely, 2^{101101002201120} is an apocalyptic number.

101101002201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101101002201120 is an abundant number, since it is smaller than the sum of its proper divisors (217459496323680).

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

101101002201120 is a wasteful number, since it uses less digits than its factorization.

101101002201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61072498 (or 61072490 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101101002201120 its reverse (21102200101101), we get a palindrome (122203202302221).

The spelling of 101101002201120 in words is "one hundred one trillion, one hundred one billion, two million, two hundred one thousand, one hundred twenty".