100012012101210 has 256 divisors, whose sum is σ = 276459030650880. Its totient is φ = 22900320000000.

The previous prime is 100012012101203. The next prime is 100012012101227. The reversal of 100012012101210 is 12101210210001.

100012012101210 is a modest number, since divided by 12101210 gives 1000120 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11111206710 + ... + 11111215710.

It is an arithmetic number, because the mean of its divisors is an integer number (1079918088480).

Almost surely, 2^{100012012101210} is an apocalyptic number.

100012012101210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100012012101210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138229515325440).

100012012101210 is an abundant number, since it is smaller than the sum of its proper divisors (176447018549670).

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

100012012101210 is a wasteful number, since it uses less digits than its factorization.

100012012101210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14165.

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

Adding to 100012012101210 its reverse (12101210210001), we get a palindrome (112113222311211).

The spelling of 100012012101210 in words is "one hundred trillion, twelve billion, twelve million, one hundred one thousand, two hundred ten".