100121001100020 has 36 divisors (see below), whose sum is σ = 303700370003940. Its totient is φ = 26698933626624.

The previous prime is 100121001099877. The next prime is 100121001100049. The reversal of 100121001100020 is 20001100121001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 43244486210916 + 56876514889104 = 6576054^2 + 7541652^2 .

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

It is a super-2 number, since 2×100121001100020² (a number of 29 digits) contains 22 as substring.

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 = 100121001099975 and 100121001100011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 278113891765 + ... + 278113892124.

Almost surely, 2^{100121001100020} is an apocalyptic number.

100121001100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100121001100020 is an abundant number, since it is smaller than the sum of its proper divisors (203579368903920).

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

100121001100020 is a wasteful number, since it uses less digits than its factorization.

100121001100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556227783904 (or 556227783899 counting only the distinct ones).

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

Adding to 100121001100020 its reverse (20001100121001), we get a palindrome (120122101221021).

The spelling of 100121001100020 in words is "one hundred trillion, one hundred twenty-one billion, one million, one hundred thousand, twenty".