1020100121020 has 48 divisors (see below), whose sum is σ = 2145857313600. Its totient is φ = 407345702400.

The previous prime is 1020100120993. The next prime is 1020100121059. The reversal of 1020100121020 is 201210010201.

1020100121020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1020100120988 and 1020100121006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66713536 + ... + 66728824.

It is an arithmetic number, because the mean of its divisors is an integer number (44705360700).

Almost surely, 2^{1020100121020} is an apocalyptic number.

1020100121020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020100121020 is an abundant number, since it is smaller than the sum of its proper divisors (1125757192580).

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

1020100121020 is a wasteful number, since it uses less digits than its factorization.

1020100121020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20758 (or 20756 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1020100121020 its reverse (201210010201), we get a palindrome (1221310131221).

The spelling of 1020100121020 in words is "one trillion, twenty billion, one hundred million, one hundred twenty-one thousand, twenty".