10002010012101 has 32 divisors (see below), whose sum is σ = 15394539888000. Its totient is φ = 6410444068224.

The previous prime is 10002010012097. The next prime is 10002010012139. The reversal of 10002010012101 is 10121001020001.

It is a happy number.

It is not a de Polignac number, because 10002010012101 - 2² = 10002010012097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002010012171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27229491 + ... + 27594368.

It is an arithmetic number, because the mean of its divisors is an integer number (481079371500).

Almost surely, 2^{10002010012101} is an apocalyptic number.

It is an amenable number.

10002010012101 is a deficient number, since it is larger than the sum of its proper divisors (5392529875899).

10002010012101 is a wasteful number, since it uses less digits than its factorization.

10002010012101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54824130 (or 54824124 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10002010012101 its reverse (10121001020001), we get a palindrome (20123011032102).

The spelling of 10002010012101 in words is "ten trillion, two billion, ten million, twelve thousand, one hundred one".