20401334302100 has 18 divisors (see below), whose sum is σ = 44270895435774. Its totient is φ = 8160533720800.

The previous prime is 20401334302067. The next prime is 20401334302133. The reversal of 20401334302100 is 120343310402.

It is an interprime number because it is at equal distance from previous prime (20401334302067) and next prime (20401334302133).

It can be written as a sum of positive squares in 3 ways, for example, as 4440957740164 + 15960376561936 = 2107358^2 + 3995044^2 .

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 102006671411 + ... + 102006671610.

Almost surely, 2^{20401334302100} is an apocalyptic number.

20401334302100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20401334302100 is an abundant number, since it is smaller than the sum of its proper divisors (23869561133674).

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

20401334302100 is a wasteful number, since it uses less digits than its factorization.

20401334302100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204013343035 (or 204013343028 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 20401334302100 its reverse (120343310402), we get a palindrome (20521677612502).

The spelling of 20401334302100 in words is "twenty trillion, four hundred one billion, three hundred thirty-four million, three hundred two thousand, one hundred".