101434111400 has 24 divisors (see below), whose sum is σ = 235834309470. Its totient is φ = 40573644480.

The previous prime is 101434111349. The next prime is 101434111409. The reversal of 101434111400 is 4111434101.

It can be written as a sum of positive squares in 3 ways, for example, as 42873015364 + 58561096036 = 207058^2 + 241994^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (101434111409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 253585079 + ... + 253585478.

Almost surely, 2^101434111400 is an apocalyptic number.

101434111400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101434111400 is an abundant number, since it is smaller than the sum of its proper divisors (134400198070).

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

101434111400 is a wasteful number, since it uses less digits than its factorization.

101434111400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507170573 (or 507170564 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 101434111400 its reverse (4111434101), we get a palindrome (105545545501).

The spelling of 101434111400 in words is "one hundred one billion, four hundred thirty-four million, one hundred eleven thousand, four hundred".