10121122120100 has 36 divisors (see below), whose sum is σ = 23118773689200. Its totient is φ = 3835372592160.

The previous prime is 10121122120079. The next prime is 10121122120103. The reversal of 10121122120100 is 102122112101.

It is a super-2 number, since 2×10121122120100² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10121122120103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2663451290 + ... + 2663455089.

Almost surely, 2^{10121122120100} is an apocalyptic number.

10121122120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10121122120100 is an abundant number, since it is smaller than the sum of its proper divisors (12997651569100).

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

10121122120100 is a wasteful number, since it uses less digits than its factorization.

10121122120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5326906412 (or 5326906405 counting only the distinct ones).

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

Adding to 10121122120100 its reverse (102122112101), we get a palindrome (10223244232201).

The spelling of 10121122120100 in words is "ten trillion, one hundred twenty-one billion, one hundred twenty-two million, one hundred twenty thousand, one hundred".