100011000022100 has 72 divisors (see below), whose sum is σ = 229793557896000. Its totient is φ = 37650613777920.

The previous prime is 100011000022097. The next prime is 100011000022103. The reversal of 100011000022100 is 1220000110001.

It is an interprime number because it is at equal distance from previous prime (100011000022097) and next prime (100011000022103).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100011000022103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117725057 + ... + 118571543.

It is an arithmetic number, because the mean of its divisors is an integer number (3191577193000).

Almost surely, 2^{100011000022100} is an apocalyptic number.

100011000022100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100011000022100 is an abundant number, since it is smaller than the sum of its proper divisors (129782557873900).

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

100011000022100 is a wasteful number, since it uses less digits than its factorization.

100011000022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916017 (or 916010 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 100011000022100 its reverse (1220000110001), we get a palindrome (101231000132101).

The spelling of 100011000022100 in words is "one hundred trillion, eleven billion, twenty-two thousand, one hundred".