100101221100100 has 72 divisors (see below), whose sum is σ = 237068121419136. Its totient is φ = 36384894000000.

The previous prime is 100101221100091. The next prime is 100101221100137. The reversal of 100101221100100 is 1001122101001.

It is a super-2 number, since 2×100101221100100² (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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16861276 + ... + 22011475.

It is an arithmetic number, because the mean of its divisors is an integer number (3292612797488).

Almost surely, 2^{100101221100100} is an apocalyptic number.

100101221100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100101221100100 is an abundant number, since it is smaller than the sum of its proper divisors (136966900319036).

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

100101221100100 is a wasteful number, since it uses less digits than its factorization.

100101221100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38875117 (or 38875110 counting only the distinct ones).

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

Adding to 100101221100100 its reverse (1001122101001), we get a palindrome (101102343201101).

The spelling of 100101221100100 in words is "one hundred trillion, one hundred one billion, two hundred twenty-one million, one hundred thousand, one hundred".