100212002211220 has 48 divisors (see below), whose sum is σ = 218059743863808. Its totient is φ = 38644245607680.

The previous prime is 100212002211199. The next prime is 100212002211221. The reversal of 100212002211220 is 22112200212001.

It is a happy number.

It is a super-4 number, since 4×100212002211220⁴ (a number of 57 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100212002211194 and 100212002211203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100212002211221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 307122609 + ... + 307448728.

It is an arithmetic number, because the mean of its divisors is an integer number (4542911330496).

Almost surely, 2^{100212002211220} is an apocalyptic number.

100212002211220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100212002211220 is an abundant number, since it is smaller than the sum of its proper divisors (117847741652588).

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

100212002211220 is a wasteful number, since it uses less digits than its factorization.

100212002211220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614571640 (or 614571638 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 100212002211220 its reverse (22112200212001), we get a palindrome (122324202423221).

The spelling of 100212002211220 in words is "one hundred trillion, two hundred twelve billion, two million, two hundred eleven thousand, two hundred twenty".