100101212202112 has 192 divisors, whose sum is σ = 221423687654400. Its totient is φ = 45038695680000.

The previous prime is 100101212202097. The next prime is 100101212202139. The reversal of 100101212202112 is 211202212101001.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11011018687 + ... + 11011027777.

It is an arithmetic number, because the mean of its divisors is an integer number (1153248373200).

Almost surely, 2^{100101212202112} 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 100101212202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110711843827200).

100101212202112 is an abundant number, since it is smaller than the sum of its proper divisors (121322475452288).

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

100101212202112 is a wasteful number, since it uses less digits than its factorization.

100101212202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16267 (or 16244 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 100101212202112 its reverse (211202212101001), we get a palindrome (311303424303113).

The spelling of 100101212202112 in words is "one hundred trillion, one hundred one billion, two hundred twelve million, two hundred two thousand, one hundred twelve".