101413047100 has 18 divisors (see below), whose sum is σ = 220066312424. Its totient is φ = 40565218800.

The previous prime is 101413047097. The next prime is 101413047101. The reversal of 101413047100 is 1740314101.

It is a happy number.

It is a super-3 number, since 3×101413047100³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101413047101) 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 5 ways as a sum of consecutive naturals, for example, 507065136 + ... + 507065335.

Almost surely, 2^101413047100 is an apocalyptic number.

101413047100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101413047100 is an abundant number, since it is smaller than the sum of its proper divisors (118653265324).

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

101413047100 is a wasteful number, since it uses less digits than its factorization.

101413047100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014130485 (or 1014130478 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

The spelling of 101413047100 in words is "one hundred one billion, four hundred thirteen million, forty-seven thousand, one hundred".