10121354430100 has 36 divisors (see below), whose sum is σ = 22044987272700. Its totient is φ = 4033491420160.

The previous prime is 10121354430097. The next prime is 10121354430139. The reversal of 10121354430100 is 103445312101.

It can be written as a sum of positive squares in 6 ways, for example, as 408520392336 + 9712834037764 = 639156^2 + 3116542^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 188102365 + ... + 188156164.

It is an arithmetic number, because the mean of its divisors is an integer number (612360757575).

Almost surely, 2^{10121354430100} is an apocalyptic number.

10121354430100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10121354430100 is an abundant number, since it is smaller than the sum of its proper divisors (11923632842600).

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

10121354430100 is a wasteful number, since it uses less digits than its factorization.

10121354430100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376258812 (or 376258805 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

Adding to 10121354430100 its reverse (103445312101), we get a palindrome (10224799742201).

The spelling of 10121354430100 in words is "ten trillion, one hundred twenty-one billion, three hundred fifty-four million, four hundred thirty thousand, one hundred".