10212212000100 has 144 divisors (see below), whose sum is σ = 32246588586240. Its totient is φ = 2474679004800.

The previous prime is 10212211999987. The next prime is 10212212000113. The reversal of 10212212000100 is 100021221201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7485459 + ... + 8743941.

It is an arithmetic number, because the mean of its divisors is an integer number (223934642960).

Almost surely, 2^{10212212000100} is an apocalyptic number.

10212212000100 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 10212212000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16123294293120).

10212212000100 is an abundant number, since it is smaller than the sum of its proper divisors (22034376586140).

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

10212212000100 is a wasteful number, since it uses less digits than its factorization.

10212212000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1260970 (or 1260963 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10212212000100 its reverse (100021221201), we get a palindrome (10312233221301).

The spelling of 10212212000100 in words is "ten trillion, two hundred twelve billion, two hundred twelve million, one hundred", and thus it is an aban number.