100001101221100 has 72 divisors (see below), whose sum is σ = 221339172966128. Its totient is φ = 39205667692800.

The previous prime is 100001101221089. The next prime is 100001101221101. The reversal of 100001101221100 is 1122101100001.

It is a super-2 number, since 2×100001101221100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (100001101221101) 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, 27237699 + ... + 30690298.

Almost surely, 2^{100001101221100} is an apocalyptic number.

100001101221100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100001101221100 is an abundant number, since it is smaller than the sum of its proper divisors (121338071745028).

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

100001101221100 is a wasteful number, since it uses less digits than its factorization.

100001101221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57928355 (or 57928348 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 100001101221100 its reverse (1122101100001), we get a palindrome (101123202321101).

The spelling of 100001101221100 in words is "one hundred trillion, one billion, one hundred one million, two hundred twenty-one thousand, one hundred".