100012100122000 has 240 divisors, whose sum is σ = 267505498771056. Its totient is φ = 36136379136000.

The previous prime is 100012100121979. The next prime is 100012100122043. The reversal of 100012100122000 is 221001210001.

It can be written as a sum of positive squares in 8 ways, for example, as 53004457133056 + 47007642988944 = 7280416^2 + 6856212^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36677844 + ... + 39310156.

Almost surely, 2^{100012100122000} is an apocalyptic number.

100012100122000 is a gapful number since it is divisible by the number (10) 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 100012100122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133752749385528).

100012100122000 is an abundant number, since it is smaller than the sum of its proper divisors (167493398649056).

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

100012100122000 is a wasteful number, since it uses less digits than its factorization.

100012100122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2632515 (or 2632488 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100012100122000 its reverse (221001210001), we get a palindrome (100233101332001).

The spelling of 100012100122000 in words is "one hundred trillion, twelve billion, one hundred million, one hundred twenty-two thousand".