100010212100 has 18 divisors (see below), whose sum is σ = 217022160474. Its totient is φ = 40004084800.

The previous prime is 100010212079. The next prime is 100010212103. The reversal of 100010212100 is 1212010001.

It can be written as a sum of positive squares in 3 ways, for example, as 9614979136 + 90395232964 = 98056^2 + 300658^2 .

It is not an unprimeable number, because it can be changed into a prime (100010212103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 500050961 + ... + 500051160.

It is an arithmetic number, because the mean of its divisors is an integer number (12056786693).

Almost surely, 2^100010212100 is an apocalyptic number.

100010212100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100010212100 is an abundant number, since it is smaller than the sum of its proper divisors (117011948374).

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

100010212100 is a wasteful number, since it uses less digits than its factorization.

100010212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000102135 (or 1000102128 counting only the distinct ones).

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

Adding to 100010212100 its reverse (1212010001), we get a palindrome (101222222101).

The spelling of 100010212100 in words is "one hundred billion, ten million, two hundred twelve thousand, one hundred".