10121122100120 has 32 divisors (see below), whose sum is σ = 22850246679120. Its totient is φ = 4034631603840.

The previous prime is 10121122100101. The next prime is 10121122100147. The reversal of 10121122100120 is 2100122112101.

It is a super-2 number, since 2×10121122100120² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10121122100095 and 10121122100104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 431776766 + ... + 431800205.

Almost surely, 2^{10121122100120} is an apocalyptic number.

10121122100120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10121122100120 is an abundant number, since it is smaller than the sum of its proper divisors (12729124579000).

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

10121122100120 is a wasteful number, since it uses less digits than its factorization.

10121122100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863577275 (or 863577271 counting only the distinct ones).

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

Adding to 10121122100120 its reverse (2100122112101), we get a palindrome (12221244212221).

The spelling of 10121122100120 in words is "ten trillion, one hundred twenty-one billion, one hundred twenty-two million, one hundred thousand, one hundred twenty".