10020101102100 has 108 divisors (see below), whose sum is σ = 32256300345724. Its totient is φ = 2599810007040.

The previous prime is 10020101102093. The next prime is 10020101102107. The reversal of 10020101102100 is 120110102001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10020101102093) and next prime (10020101102107).

It can be written as a sum of positive squares in 6 ways, for example, as 713220786576 + 9306880315524 = 844524^2 + 3050718^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10020101102107) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 150418669 + ... + 150485268.

Almost surely, 2^{10020101102100} is an apocalyptic number.

10020101102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10020101102100 is an abundant number, since it is smaller than the sum of its proper divisors (22236199243624).

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

10020101102100 is a wasteful number, since it uses less digits than its factorization.

10020101102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300903994 (or 300903984 counting only the distinct ones).

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

Adding to 10020101102100 its reverse (120110102001), we get a palindrome (10140211204101).

The spelling of 10020101102100 in words is "ten trillion, twenty billion, one hundred one million, one hundred two thousand, one hundred".