100011212122100 has 144 divisors (see below), whose sum is σ = 218801786674800. Its totient is φ = 39678374707200.

The previous prime is 100011212122099. The next prime is 100011212122123. The reversal of 100011212122100 is 1221212110001.

It can be written as a sum of positive squares in 24 ways, for example, as 67859272930276 + 32151939191824 = 8237674^2 + 5670268^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13248269126 + ... + 13248276674.

Almost surely, 2^{100011212122100} is an apocalyptic number.

100011212122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100011212122100 is an abundant number, since it is smaller than the sum of its proper divisors (118790574552700).

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

100011212122100 is a wasteful number, since it uses less digits than its factorization.

100011212122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9958 (or 9951 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100011212122100 its reverse (1221212110001), we get a palindrome (101232424232101).

The spelling of 100011212122100 in words is "one hundred trillion, eleven billion, two hundred twelve million, one hundred twenty-two thousand, one hundred".