2159106972100 has 243 divisors, whose sum is σ = 5171755214997. Its totient is φ = 782044623360.

The previous prime is 2159106972097. The next prime is 2159106972103. The reversal of 2159106972100 is 12796019512.

The square root of 2159106972100 is 1469390.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (2159106972097) and next prime (2159106972103).

It can be written as a sum of positive squares in 13 ways, for example, as 2145691773124 + 13415198976 = 1464818^2 + 115824^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2159106972103) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 17000842237 + ... + 17000842363.

Almost surely, 2^{2159106972100} is an apocalyptic number.

2159106972100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2159106972100 is the 1469390-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2159106972100

2159106972100 is an abundant number, since it is smaller than the sum of its proper divisors (3012648242897).

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

2159106972100 is a wasteful number, since it uses less digits than its factorization.

2159106972100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 43.

The spelling of 2159106972100 in words is "two trillion, one hundred fifty-nine billion, one hundred six million, nine hundred seventy-two thousand, one hundred".