2145772123101 has 48 divisors (see below), whose sum is σ = 3136665692160. Its totient is φ = 1413442910880.

The previous prime is 2145772123097. The next prime is 2145772123153. The reversal of 2145772123101 is 1013212775412.

2145772123101 is a `hidden beast` number, since 2 + 1 + 457 + 72 + 123 + 10 + 1 = 666.

It is not a de Polignac number, because 2145772123101 - 2² = 2145772123097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2145772143101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 406470580 + ... + 406475858.

It is an arithmetic number, because the mean of its divisors is an integer number (65347201920).

Almost surely, 2^{2145772123101} is an apocalyptic number.

It is an amenable number.

2145772123101 is a deficient number, since it is larger than the sum of its proper divisors (990893569059).

2145772123101 is a wasteful number, since it uses less digits than its factorization.

2145772123101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6846 (or 6843 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

Adding to 2145772123101 its reverse (1013212775412), we get a palindrome (3158984898513).

The spelling of 2145772123101 in words is "two trillion, one hundred forty-five billion, seven hundred seventy-two million, one hundred twenty-three thousand, one hundred one".