100212120100 has 54 divisors (see below), whose sum is σ = 227326294370. Its totient is φ = 38342008320.

The previous prime is 100212120079. The next prime is 100212120157. The reversal of 100212120100 is 1021212001.

It can be written as a sum of positive squares in 3 ways, for example, as 1300612096 + 98911508004 = 36064^2 + 314502^2 .

It is a super-3 number, since 3×100212120100³ (a number of 34 digits) contains 333 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 17 ways as a sum of consecutive naturals, for example, 894285 + ... + 1000084.

Almost surely, 2^100212120100 is an apocalyptic number.

100212120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100212120100 is an abundant number, since it is smaller than the sum of its proper divisors (127114174270).

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

100212120100 is a wasteful number, since it uses less digits than its factorization.

100212120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1894429 (or 1894399 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100212120100 its reverse (1021212001), we get a palindrome (101233332101).

The spelling of 100212120100 in words is "one hundred billion, two hundred twelve million, one hundred twenty thousand, one hundred".