1021010020100 has 288 divisors, whose sum is σ = 2651988928512. Its totient is φ = 333849600000.

The previous prime is 1021010020091. The next prime is 1021010020153. The reversal of 1021010020100 is 10200101201.

It is a super-2 number, since 2×1021010020100² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 528198734 + ... + 528200666.

Almost surely, 2^{1021010020100} is an apocalyptic number.

1021010020100 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 1021010020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1325994464256).

1021010020100 is an abundant number, since it is smaller than the sum of its proper divisors (1630978908412).

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

1021010020100 is a wasteful number, since it uses less digits than its factorization.

1021010020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2327 (or 2320 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1021010020100 its reverse (10200101201), we get a palindrome (1031210121301).

The spelling of 1021010020100 in words is "one trillion, twenty-one billion, ten million, twenty thousand, one hundred".