100210111212120 has 256 divisors, whose sum is σ = 382765412736000. Its totient is φ = 20414155216896.

The previous prime is 100210111212103. The next prime is 100210111212121. The reversal of 100210111212120 is 21212111012001.

It is a happy number.

100210111212120 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100210111212120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100210111212121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 157903150 + ... + 158536509.

It is an arithmetic number, because the mean of its divisors is an integer number (1495177393500).

Almost surely, 2^{100210111212120} is an apocalyptic number.

100210111212120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100210111212120 is an abundant number, since it is smaller than the sum of its proper divisors (282555301523880).

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

100210111212120 is a wasteful number, since it uses less digits than its factorization.

100210111212120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316439722 (or 316439718 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 100210111212120 its reverse (21212111012001), we get a palindrome (121422222224121).

The spelling of 100210111212120 in words is "one hundred trillion, two hundred ten billion, one hundred eleven million, two hundred twelve thousand, one hundred twenty".