10121101110020 has 24 divisors (see below), whose sum is σ = 21280584691800. Its totient is φ = 4043436184832.

The previous prime is 10121101110013. The next prime is 10121101110031. The reversal of 10121101110020 is 2001110112101.

It can be written as a sum of positive squares in 4 ways, for example, as 1626522723904 + 8494578386116 = 1275352^2 + 2914546^2 .

It is a super-2 number, since 2×10121101110020² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10121101109983 and 10121101110010.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 312749615 + ... + 312781974.

It is an arithmetic number, because the mean of its divisors is an integer number (886691028825).

Almost surely, 2^{10121101110020} is an apocalyptic number.

10121101110020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10121101110020 is an abundant number, since it is smaller than the sum of its proper divisors (11159483581780).

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

10121101110020 is a wasteful number, since it uses less digits than its factorization.

10121101110020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625532407 (or 625532405 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10121101110020 its reverse (2001110112101), we get a palindrome (12122211222121).

The spelling of 10121101110020 in words is "ten trillion, one hundred twenty-one billion, one hundred one million, one hundred ten thousand, twenty".