10200012020121 has 96 divisors (see below), whose sum is σ = 17620585242624. Its totient is φ = 5134616784000.

The previous prime is 10200012020113. The next prime is 10200012020131. The reversal of 10200012020121 is 12102021000201.

It is not a de Polignac number, because 10200012020121 - 2³ = 10200012020113 is a prime.

It is a super-2 number, since 2×10200012020121² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10200012020097 and 10200012020106.

It is not an unprimeable number, because it can be changed into a prime (10200012020111) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11639316 + ... + 12484938.

It is an arithmetic number, because the mean of its divisors is an integer number (183547762944).

Almost surely, 2^{10200012020121} is an apocalyptic number.

10200012020121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10200012020121 is a deficient number, since it is larger than the sum of its proper divisors (7420573222503).

10200012020121 is a wasteful number, since it uses less digits than its factorization.

10200012020121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845803 (or 845792 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10200012020121 its reverse (12102021000201), we get a palindrome (22302033020322).

It can be divided in two parts, 102000 and 12020121, that added together give a palindrome (12122121).

The spelling of 10200012020121 in words is "ten trillion, two hundred billion, twelve million, twenty thousand, one hundred twenty-one".