100200011210112 has 512 divisors, whose sum is σ = 298365765511680. Its totient is φ = 29537280000000.

The previous prime is 100200011210099. The next prime is 100200011210137. The reversal of 100200011210112 is 211012110002001.

It is a super-2 number, since 2×100200011210112² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33388872612 + ... + 33388875612.

It is an arithmetic number, because the mean of its divisors is an integer number (582745635765).

Almost surely, 2^{100200011210112} is an apocalyptic number.

100200011210112 is a gapful number since it is divisible by the number (12) 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 100200011210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149182882755840).

100200011210112 is an abundant number, since it is smaller than the sum of its proper divisors (198165754301568).

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

100200011210112 is a wasteful number, since it uses less digits than its factorization.

100200011210112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4474 (or 4462 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100200011210112 its reverse (211012110002001), we get a palindrome (311212121212113).

The spelling of 100200011210112 in words is "one hundred trillion, two hundred billion, eleven million, two hundred ten thousand, one hundred twelve".