101022022111120 has 120 divisors (see below), whose sum is σ = 258175994788152. Its totient is φ = 36734386360320.

The previous prime is 101022022111111. The next prime is 101022022111121. The reversal of 101022022111120 is 21111220220101.

It can be written as a sum of positive squares in 4 ways, for example, as 39189402900736 + 61832619210384 = 6260144^2 + 7863372^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 101022022111094 and 101022022111103.

It is not an unprimeable number, because it can be changed into a prime (101022022111121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 498583272 + ... + 498785848.

Almost surely, 2^{101022022111120} is an apocalyptic number.

101022022111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101022022111120 is an abundant number, since it is smaller than the sum of its proper divisors (157153972677032).

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

101022022111120 is a wasteful number, since it uses less digits than its factorization.

101022022111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254129 (or 254112 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 101022022111120 its reverse (21111220220101), we get a palindrome (122133242331221).

The spelling of 101022022111120 in words is "one hundred one trillion, twenty-two billion, twenty-two million, one hundred eleven thousand, one hundred twenty".