10001100121020 has 144 divisors (see below), whose sum is σ = 32409954944640. Its totient is φ = 2488883303808.

The previous prime is 10001100121013. The next prime is 10001100121031. The reversal of 10001100121020 is 2012100110001.

It is a happy number.

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 = 10001100120993 and 10001100121011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21593982 + ... + 22052261.

It is an arithmetic number, because the mean of its divisors is an integer number (225069131560).

Almost surely, 2^{10001100121020} is an apocalyptic number.

10001100121020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001100121020 is an abundant number, since it is smaller than the sum of its proper divisors (22408854823620).

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

10001100121020 is a wasteful number, since it uses less digits than its factorization.

10001100121020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43646344 (or 43646339 counting only the distinct ones).

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

Adding to 10001100121020 its reverse (2012100110001), we get a palindrome (12013200231021).

The spelling of 10001100121020 in words is "ten trillion, one billion, one hundred million, one hundred twenty-one thousand, twenty".