10100121012 has 36 divisors (see below), whose sum is σ = 26476451456. Its totient is φ = 3366706680.

The previous prime is 10100121011. The next prime is 10100121121. The reversal of 10100121012 is 21012100101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 10100120985 and 10100121003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100121011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5194564 + ... + 5196507.

Almost surely, 2^10100121012 is an apocalyptic number.

10100121012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10100121012 is an abundant number, since it is smaller than the sum of its proper divisors (16376330444).

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

10100121012 is a wasteful number, since it uses less digits than its factorization.

10100121012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10391090 (or 10391076 counting only the distinct ones).

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

Adding to 10100121012 its reverse (21012100101), we get a palindrome (31112221113).

The spelling of 10100121012 in words is "ten billion, one hundred million, one hundred twenty-one thousand, twelve".