101110221212100 has 144 divisors (see below), whose sum is σ = 319746205933056. Its totient is φ = 24558080256000.

The previous prime is 101110221212093. The next prime is 101110221212101. The reversal of 101110221212100 is 1212122011101.

It is a happy number.

It is a super-3 number, since 3×101110221212100³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101110221212100.

It is not an unprimeable number, because it can be changed into a prime (101110221212101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 319608571 + ... + 319924770.

It is an arithmetic number, because the mean of its divisors is an integer number (2220459763424).

Almost surely, 2^{101110221212100} is an apocalyptic number.

101110221212100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101110221212100 is an abundant number, since it is smaller than the sum of its proper divisors (218635984720956).

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

101110221212100 is a wasteful number, since it uses less digits than its factorization.

101110221212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639533406 (or 639533399 counting only the distinct ones).

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

Adding to 101110221212100 its reverse (1212122011101), we get a palindrome (102322343223201).

The spelling of 101110221212100 in words is "one hundred one trillion, one hundred ten billion, two hundred twenty-one million, two hundred twelve thousand, one hundred".