101000212100 has 72 divisors (see below), whose sum is σ = 223624494408. Its totient is φ = 39587328000.

The previous prime is 101000212091. The next prime is 101000212123. The reversal of 101000212100 is 1212000101.

It can be written as a sum of positive squares in 12 ways, for example, as 6885016576 + 94115195524 = 82976^2 + 306782^2 .

101000212100 is a modest number, since divided by 212100 gives 101000 as remainder.

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, 928154 + ... + 1031246.

Almost surely, 2^101000212100 is an apocalyptic number.

101000212100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101000212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111812247204).

101000212100 is an abundant number, since it is smaller than the sum of its proper divisors (122624282308).

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

101000212100 is a wasteful number, since it uses less digits than its factorization.

101000212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103305 (or 103298 counting only the distinct ones).

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

Adding to 101000212100 its reverse (1212000101), we get a palindrome (102212212201).

The spelling of 101000212100 in words is "one hundred one billion, two hundred twelve thousand, one hundred".