126101247100 has 36 divisors (see below), whose sum is σ = 273888032544. Its totient is φ = 50394724480.

The previous prime is 126101247073. The next prime is 126101247101. The reversal of 126101247100 is 1742101621.

It is a super-3 number, since 3×126101247100³ (a number of 34 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126101247101) 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 11 ways as a sum of consecutive naturals, for example, 461329 + ... + 681928.

It is an arithmetic number, because the mean of its divisors is an integer number (7608000904).

Almost surely, 2^126101247100 is an apocalyptic number.

126101247100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126101247100 is an abundant number, since it is smaller than the sum of its proper divisors (147786785444).

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

126101247100 is a wasteful number, since it uses less digits than its factorization.

126101247100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144374 (or 1144367 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 25.

Adding to 126101247100 its reverse (1742101621), we get a palindrome (127843348721).

The spelling of 126101247100 in words is "one hundred twenty-six billion, one hundred one million, two hundred forty-seven thousand, one hundred".