10002121001110 has 96 divisors (see below), whose sum is σ = 21403429797888. Its totient is φ = 3354041799360.

The previous prime is 10002121001099. The next prime is 10002121001111. The reversal of 10002121001110 is 1110012120001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002121001111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33729507 + ... + 34024753.

It is an arithmetic number, because the mean of its divisors is an integer number (222952393728).

Almost surely, 2^{10002121001110} is an apocalyptic number.

10002121001110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10002121001110 is an abundant number, since it is smaller than the sum of its proper divisors (11401308796778).

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

10002121001110 is a wasteful number, since it uses less digits than its factorization.

10002121001110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296786 (or 296779 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10002121001110 its reverse (1110012120001), we get a palindrome (11112133121111).

The spelling of 10002121001110 in words is "ten trillion, two billion, one hundred twenty-one million, one thousand, one hundred ten".