10002012121020 has 192 divisors, whose sum is σ = 30065210703360. Its totient is φ = 2476913126400.

The previous prime is 10002012120977. The next prime is 10002012121069. The reversal of 10002012121020 is 2012121020001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10002012120987 and 10002012121005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20129775 + ... + 20620665.

It is an arithmetic number, because the mean of its divisors is an integer number (156589639080).

Almost surely, 2^{10002012121020} is an apocalyptic number.

10002012121020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10002012121020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15032605351680).

10002012121020 is an abundant number, since it is smaller than the sum of its proper divisors (20063198582340).

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

10002012121020 is a wasteful number, since it uses less digits than its factorization.

10002012121020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491276 (or 491274 counting only the distinct ones).

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

Adding to 10002012121020 its reverse (2012121020001), we get a palindrome (12014133141021).

The spelling of 10002012121020 in words is "ten trillion, two billion, twelve million, one hundred twenty-one thousand, twenty".