10002011121012 has 48 divisors (see below), whose sum is σ = 24570405034560. Its totient is φ = 3158007579648.

The previous prime is 10002011120947. The next prime is 10002011121017. The reversal of 10002011121012 is 21012111020001.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002011121017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2243613 + ... + 5003780.

It is an arithmetic number, because the mean of its divisors is an integer number (511883438220).

Almost surely, 2^{10002011121012} is an apocalyptic number.

10002011121012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10002011121012 is an abundant number, since it is smaller than the sum of its proper divisors (14568393913548).

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

10002011121012 is a wasteful number, since it uses less digits than its factorization.

10002011121012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7253472 (or 7253470 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10002011121012 its reverse (21012111020001), we get a palindrome (31014122141013).

The spelling of 10002011121012 in words is "ten trillion, two billion, eleven million, one hundred twenty-one thousand, twelve".