101222201211120 has 240 divisors, whose sum is σ = 377838345092832. Its totient is φ = 24075720714240.

The previous prime is 101222201211097. The next prime is 101222201211137. The reversal of 101222201211120 is 21112102222101.

101222201211120 is a `hidden beast` number, since 10 + 1 + 222 + 201 + 211 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101222201211093 and 101222201211102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 120151759 + ... + 120991278.

Almost surely, 2^{101222201211120} is an apocalyptic number.

101222201211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101222201211120 is an abundant number, since it is smaller than the sum of its proper divisors (276616143881712).

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

101222201211120 is a wasteful number, since it uses less digits than its factorization.

101222201211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241143120 (or 241143111 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 101222201211120 its reverse (21112102222101), we get a palindrome (122334303433221).

The spelling of 101222201211120 in words is "one hundred one trillion, two hundred twenty-two billion, two hundred one million, two hundred eleven thousand, one hundred twenty".