2120768977971 has 16 divisors (see below), whose sum is σ = 3231689388800. Its totient is φ = 1211852454048.

The previous prime is 2120768977949. The next prime is 2120768977981. The reversal of 2120768977971 is 1797798670212.

It is not a de Polignac number, because 2120768977971 - 2⁵ = 2120768977939 is a prime.

It is a super-2 number, since 2×2120768977971² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2120768977981) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1145640 + ... + 2356698.

It is an arithmetic number, because the mean of its divisors is an integer number (201980586800).

Almost surely, 2^{2120768977971} is an apocalyptic number.

2120768977971 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2120768977971 is a deficient number, since it is larger than the sum of its proper divisors (1110920410829).

2120768977971 is a wasteful number, since it uses less digits than its factorization.

2120768977971 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1294458.

The product of its (nonzero) digits is 37340352, while the sum is 66.

The spelling of 2120768977971 in words is "two trillion, one hundred twenty billion, seven hundred sixty-eight million, nine hundred seventy-seven thousand, nine hundred seventy-one".