101406112113300 has 72 divisors (see below), whose sum is σ = 293404308276576. Its totient is φ = 27041388063360.

The previous prime is 101406112113209. The next prime is 101406112113301. The reversal of 101406112113300 is 3311211604101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101406112113301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33434587 + ... + 36341213.

Almost surely, 2^{101406112113300} is an apocalyptic number.

101406112113300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101406112113300 is an abundant number, since it is smaller than the sum of its proper divisors (191998196163276).

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

101406112113300 is a wasteful number, since it uses less digits than its factorization.

101406112113300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3022937 (or 3022930 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

Adding to 101406112113300 its reverse (3311211604101), we get a palindrome (104717323717401).

The spelling of 101406112113300 in words is "one hundred one trillion, four hundred six billion, one hundred twelve million, one hundred thirteen thousand, three hundred".