100102022002212 has 24 divisors (see below), whose sum is σ = 233604891018912. Its totient is φ = 33362554046400.

The previous prime is 100102022002211. The next prime is 100102022002217. The reversal of 100102022002212 is 212200220201001.

It is a junction number, because it is equal to n+sod(n) for n = 100102022002191 and 100102022002200.

It is not an unprimeable number, because it can be changed into a prime (100102022002211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 598240489 + ... + 598407792.

It is an arithmetic number, because the mean of its divisors is an integer number (9733537125788).

Almost surely, 2^{100102022002212} is an apocalyptic number.

100102022002212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100102022002212 is an abundant number, since it is smaller than the sum of its proper divisors (133502869016700).

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

100102022002212 is a wasteful number, since it uses less digits than its factorization.

100102022002212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1196655259 (or 1196655257 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 100102022002212 its reverse (212200220201001), we get a palindrome (312302242203213).

The spelling of 100102022002212 in words is "one hundred trillion, one hundred two billion, twenty-two million, two thousand, two hundred twelve".