10201121010012 has 24 divisors (see below), whose sum is σ = 23803205602176. Its totient is φ = 3400289396848.

The previous prime is 10201121009969. The next prime is 10201121010071. The reversal of 10201121010012 is 21001012110201.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10201121010012.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 10028808 + ... + 10999055.

It is an arithmetic number, because the mean of its divisors is an integer number (991800233424).

Almost surely, 2^{10201121010012} is an apocalyptic number.

10201121010012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10201121010012 is an abundant number, since it is smaller than the sum of its proper divisors (13602084592164).

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

10201121010012 is a wasteful number, since it uses less digits than its factorization.

10201121010012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21068297 (or 21068295 counting only the distinct ones).

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

Adding to 10201121010012 its reverse (21001012110201), we get a palindrome (31202133120213).

The spelling of 10201121010012 in words is "ten trillion, two hundred one billion, one hundred twenty-one million, ten thousand, twelve".