101212201212100 has 216 divisors, whose sum is σ = 242282719663488. Its totient is φ = 36396360000000.

The previous prime is 101212201212097. The next prime is 101212201212121. The reversal of 101212201212100 is 1212102212101.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10222417150 + ... + 10222427050.

Almost surely, 2^{101212201212100} is an apocalyptic number.

101212201212100 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 101212201212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121141359831744).

101212201212100 is an abundant number, since it is smaller than the sum of its proper divisors (141070518451388).

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

101212201212100 is a wasteful number, since it uses less digits than its factorization.

101212201212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11039 (or 10931 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 101212201212100 its reverse (1212102212101), we get a palindrome (102424303424201).

The spelling of 101212201212100 in words is "one hundred one trillion, two hundred twelve billion, two hundred one million, two hundred twelve thousand, one hundred".