10002101121012 has 192 divisors, whose sum is σ = 31347997599744. Its totient is φ = 2397130882560.

The previous prime is 10002101120983. The next prime is 10002101121031. The reversal of 10002101121012 is 21012110120001.

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

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, 29585643 + ... + 29921805.

It is an arithmetic number, because the mean of its divisors is an integer number (163270820832).

Almost surely, 2^{10002101121012} is an apocalyptic number.

10002101121012 is a gapful number since it is divisible by the number (12) 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 10002101121012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15673998799872).

10002101121012 is an abundant number, since it is smaller than the sum of its proper divisors (21345896478732).

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

10002101121012 is a wasteful number, since it uses less digits than its factorization.

10002101121012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338678 (or 338676 counting only the distinct ones).

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

Adding to 10002101121012 its reverse (21012110120001), we get a palindrome (31014211241013).

The spelling of 10002101121012 in words is "ten trillion, two billion, one hundred one million, one hundred twenty-one thousand, twelve".