101102022111200 has 144 divisors (see below), whose sum is σ = 269963506229760. Its totient is φ = 36667366848000.

The previous prime is 101102022111187. The next prime is 101102022111203. The reversal of 101102022111200 is 2111220201101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101102022111203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11821616 + ... + 18492015.

It is an arithmetic number, because the mean of its divisors is an integer number (1874746571040).

Almost surely, 2^{101102022111200} is an apocalyptic number.

101102022111200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101102022111200 is an abundant number, since it is smaller than the sum of its proper divisors (168861484118560).

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

101102022111200 is a wasteful number, since it uses less digits than its factorization.

101102022111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30314041 (or 30314028 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101102022111200 its reverse (2111220201101), we get a palindrome (103213242312301).

The spelling of 101102022111200 in words is "one hundred one trillion, one hundred two billion, twenty-two million, one hundred eleven thousand, two hundred".