10020121101000 has 96 divisors (see below), whose sum is σ = 33868009351800. Its totient is φ = 2672032291200.

The previous prime is 10020121100989. The next prime is 10020121101037. The reversal of 10020121101000 is 10112102001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3544551759204 + 6475569341796 = 1882698^2 + 2544714^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 556664395 + ... + 556682394.

Almost surely, 2^{10020121101000} is an apocalyptic number.

10020121101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10020121101000 is an abundant number, since it is smaller than the sum of its proper divisors (23847888250800).

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

10020121101000 is a wasteful number, since it uses less digits than its factorization.

10020121101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1113346816 (or 1113346799 counting only the distinct ones).

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

Adding to 10020121101000 its reverse (10112102001), we get a palindrome (10030233203001).

It can be divided in two parts, 1002012 and 1101000, that added together give a palindrome (2103012).

The spelling of 10020121101000 in words is "ten trillion, twenty billion, one hundred twenty-one million, one hundred one thousand".