10100121001012 has 72 divisors (see below), whose sum is σ = 20700143541000. Its totient is φ = 4299418238976.

The previous prime is 10100121000997. The next prime is 10100121001021. The reversal of 10100121001012 is 21010012100101.

It can be written as a sum of positive squares in 4 ways, for example, as 8117279639056 + 1982841361956 = 2849084^2 + 1408134^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10100121001012.

It is a congruent number.

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, 17292564 + ... + 17867092.

It is an arithmetic number, because the mean of its divisors is an integer number (287501993625).

Almost surely, 2^{10100121001012} 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 10100121001012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10350071770500).

10100121001012 is an abundant number, since it is smaller than the sum of its proper divisors (10600022539988).

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

10100121001012 is a wasteful number, since it uses less digits than its factorization.

10100121001012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575153 (or 575144 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10100121001012 its reverse (21010012100101), we get a palindrome (31110133101113).

It can be divided in two parts, 1010012100101 and 2, that multiplied together give a palindrome (2020024200202).

The spelling of 10100121001012 in words is "ten trillion, one hundred billion, one hundred twenty-one million, one thousand, twelve".