10100121121012 has 24 divisors (see below), whose sum is σ = 19035045471456. Its totient is φ = 4661544938208.

The previous prime is 10100121121007. The next prime is 10100121121019. The reversal of 10100121121012 is 21012112100101.

It is a happy number.

10100121121012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10100121121012² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 10100121120983 and 10100121121001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100121121019) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4172163 + ... + 6132469.

It is an arithmetic number, because the mean of its divisors is an integer number (793126894644).

Almost surely, 2^{10100121121012} is an apocalyptic number.

It is an amenable number.

10100121121012 is a deficient number, since it is larger than the sum of its proper divisors (8934924350444).

10100121121012 is a wasteful number, since it uses less digits than its factorization.

10100121121012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2059407 (or 2059405 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 10100121121012 its reverse (21012112100101), we get a palindrome (31112233221113).

The spelling of 10100121121012 in words is "ten trillion, one hundred billion, one hundred twenty-one million, one hundred twenty-one thousand, twelve".