100211123012 has 192 divisors, whose sum is σ = 244288880640. Its totient is φ = 34711372800.

The previous prime is 100211123011. The next prime is 100211123021. The reversal of 100211123012 is 210321112001.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (100211123011) 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, 12965093 + ... + 12972819.

It is an arithmetic number, because the mean of its divisors is an integer number (1272337920).

Almost surely, 2^100211123012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100211123012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122144440320).

100211123012 is an abundant number, since it is smaller than the sum of its proper divisors (144077757628).

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

100211123012 is a wasteful number, since it uses less digits than its factorization.

100211123012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7882 (or 7880 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 100211123012 its reverse (210321112001), we get a palindrome (310532235013).

The spelling of 100211123012 in words is "one hundred billion, two hundred eleven million, one hundred twenty-three thousand, twelve".