100001100010212 has 72 divisors (see below), whose sum is σ = 252882486675000. Its totient is φ = 33320261703168.

The previous prime is 100001100010111. The next prime is 100001100010219. The reversal of 100001100010212 is 212010001100001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 37416712356 + 99963683297856 = 193434^2 + 9998184^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 100001100010194 and 100001100010203.

It is not an unprimeable number, because it can be changed into a prime (100001100010219) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 941426128 + ... + 941532344.

It is an arithmetic number, because the mean of its divisors is an integer number (3512256759375).

Almost surely, 2^{100001100010212} is an apocalyptic number.

100001100010212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100001100010212 is an abundant number, since it is smaller than the sum of its proper divisors (152881386664788).

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

100001100010212 is a wasteful number, since it uses less digits than its factorization.

100001100010212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116525 (or 116520 counting only the distinct ones).

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

Adding to 100001100010212 its reverse (212010001100001), we get a palindrome (312011101110213).

The spelling of 100001100010212 in words is "one hundred trillion, one billion, one hundred million, ten thousand, two hundred twelve".