1020121202100 has 576 divisors, whose sum is σ = 4070071498752. Its totient is φ = 190377216000.

The previous prime is 1020121202071. The next prime is 1020121202117. The reversal of 1020121202100 is 12021210201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11065195 + ... + 11157005.

It is an arithmetic number, because the mean of its divisors is an integer number (7066096352).

Almost surely, 2^{1020121202100} is an apocalyptic number.

1020121202100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020121202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2035035749376).

1020121202100 is an abundant number, since it is smaller than the sum of its proper divisors (3049950296652).

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

1020121202100 is a wasteful number, since it uses less digits than its factorization.

1020121202100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91896 (or 91889 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1020121202100 its reverse (12021210201), we get a palindrome (1032142412301).

It can be divided in two parts, 1020121 and 202100, that added together give a palindrome (1222221).

The spelling of 1020121202100 in words is "one trillion, twenty billion, one hundred twenty-one million, two hundred two thousand, one hundred".