101212100000100 has 288 divisors, whose sum is σ = 331293750009600. Its totient is φ = 26500755225600.

The previous prime is 101212100000069. The next prime is 101212100000147. The reversal of 101212100000100 is 1000001212101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 93174297 + ... + 94254303.

Almost surely, 2^{101212100000100} is an apocalyptic number.

101212100000100 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 101212100000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165646875004800).

101212100000100 is an abundant number, since it is smaller than the sum of its proper divisors (230081650009500).

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

101212100000100 is a wasteful number, since it uses less digits than its factorization.

101212100000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080660 (or 1080647 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101212100000100 its reverse (1000001212101), we get a palindrome (102212101212201).

The spelling of 101212100000100 in words is "one hundred one trillion, two hundred twelve billion, one hundred million, one hundred", and thus it is an aban number.