10100121101012 has 48 divisors (see below), whose sum is σ = 18662044138752. Its totient is φ = 4773638707200.

The previous prime is 10100121101011. The next prime is 10100121101047. The reversal of 10100121101012 is 21010112100101.

It is a junction number, because it is equal to n+sod(n) for n = 10100121100984 and 10100121101002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100121101011) 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, 797618 + ... + 4564694.

It is an arithmetic number, because the mean of its divisors is an integer number (388792586224).

Almost surely, 2^{10100121101012} is an apocalyptic number.

It is an amenable number.

10100121101012 is a deficient number, since it is larger than the sum of its proper divisors (8561923037740).

10100121101012 is a wasteful number, since it uses less digits than its factorization.

10100121101012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3767448 (or 3767446 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10100121101012 its reverse (21010112100101), we get a palindrome (31110233201113).

The spelling of 10100121101012 in words is "ten trillion, one hundred billion, one hundred twenty-one million, one hundred one thousand, twelve".