100122010011012 has 384 divisors, whose sum is σ = 278076186501120. Its totient is φ = 27718225920000.

The previous prime is 100122010010993. The next prime is 100122010011017. The reversal of 100122010011012 is 210110010221001.

It is a super-2 number, since 2×100122010011012² (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 not an unprimeable number, because it can be changed into a prime (100122010011017) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11586850212 + ... + 11586858852.

It is an arithmetic number, because the mean of its divisors is an integer number (724156735680).

Almost surely, 2^{100122010011012} is an apocalyptic number.

100122010011012 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 100122010011012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139038093250560).

100122010011012 is an abundant number, since it is smaller than the sum of its proper divisors (177954176490108).

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

100122010011012 is a wasteful number, since it uses less digits than its factorization.

100122010011012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10115 (or 10113 counting only the distinct ones).

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

Adding to 100122010011012 its reverse (210110010221001), we get a palindrome (310232020232013).

The spelling of 100122010011012 in words is "one hundred trillion, one hundred twenty-two billion, ten million, eleven thousand, twelve".