1021002000100 has 36 divisors (see below), whose sum is σ = 2215622167668. Its totient is φ = 408391984000.

The previous prime is 1021002000079. The next prime is 1021002000101. The reversal of 1021002000100 is 10002001201.

It can be written as a sum of positive squares in 6 ways, for example, as 65785068196 + 955216931904 = 256486^2 + 977352^2 .

It is not an unprimeable number, because it can be changed into a prime (1021002000101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6545010 + ... + 6699190.

It is an arithmetic number, because the mean of its divisors is an integer number (61545060213).

Almost surely, 2^{1021002000100} is an apocalyptic number.

1021002000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1021002000100 is an abundant number, since it is smaller than the sum of its proper divisors (1194620167568).

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

1021002000100 is a wasteful number, since it uses less digits than its factorization.

1021002000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220416 (or 220409 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 1021002000100 its reverse (10002001201), we get a palindrome (1031004001301).

The spelling of 1021002000100 in words is "one trillion, twenty-one billion, two million, one hundred", and thus it is an aban number.