126772101 has 32 divisors (see below), whose sum is σ = 194766720. Its totient is φ = 81430272.

The previous prime is 126772057. The next prime is 126772141. The reversal of 126772101 is 101277621.

It is not a de Polignac number, because 126772101 - 2¹⁰ = 126771077 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126772141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112326 + ... + 113448.

It is an arithmetic number, because the mean of its divisors is an integer number (6086460).

Almost surely, 2^126772101 is an apocalyptic number.

It is an amenable number.

126772101 is a deficient number, since it is larger than the sum of its proper divisors (67994619).

126772101 is a wasteful number, since it uses less digits than its factorization.

126772101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1282 (or 1276 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

The square root of 126772101 is about 11259.3117462836. The cubic root of 126772101 is about 502.3517227912.

The spelling of 126772101 in words is "one hundred twenty-six million, seven hundred seventy-two thousand, one hundred one".