101221120001100 has 72 divisors (see below), whose sum is σ = 319490662413888. Its totient is φ = 24538453332800.

The previous prime is 101221120001017. The next prime is 101221120001147. The reversal of 101221120001100 is 1100021122101.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15336530034 + ... + 15336536633.

It is an arithmetic number, because the mean of its divisors is an integer number (4437370311304).

Almost surely, 2^{101221120001100} is an apocalyptic number.

101221120001100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101221120001100 is an abundant number, since it is smaller than the sum of its proper divisors (218269542412788).

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

101221120001100 is a wasteful number, since it uses less digits than its factorization.

101221120001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30673066695 (or 30673066688 counting only the distinct ones).

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

Adding to 101221120001100 its reverse (1100021122101), we get a palindrome (102321141123201).

It can be divided in two parts, 1012 and 21120001100, that added together give a palindrome (21120002112).

The spelling of 101221120001100 in words is "one hundred one trillion, two hundred twenty-one billion, one hundred twenty million, one thousand, one hundred".