100121012122010 has 256 divisors, whose sum is σ = 212125423104000. Its totient is φ = 33640992000000.

The previous prime is 100121012121983. The next prime is 100121012122039. The reversal of 100121012122010 is 10221210121001.

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, 5549628590 + ... + 5549646630.

It is an arithmetic number, because the mean of its divisors is an integer number (828614934000).

Almost surely, 2^{100121012122010} is an apocalyptic number.

100121012122010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100121012122010 is an abundant number, since it is smaller than the sum of its proper divisors (112004410981990).

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

100121012122010 is a wasteful number, since it uses less digits than its factorization.

100121012122010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18549.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100121012122010 its reverse (10221210121001), we get a palindrome (110342222243011).

The spelling of 100121012122010 in words is "one hundred trillion, one hundred twenty-one billion, twelve million, one hundred twenty-two thousand, ten".