122157240100 has 81 divisors (see below), whose sum is σ = 308421546867. Its totient is φ = 41874094080.

The previous prime is 122157240097. The next prime is 122157240103. The reversal of 122157240100 is 1042751221.

The square root of 122157240100 is 349510.

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 (122157240097) and next prime (122157240103).

It can be written as a sum of positive squares in 4 ways, for example, as 10424818404 + 111732421696 = 102102^2 + 334264^2 .

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

It is not an unprimeable number, because it can be changed into a prime (122157240103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 24463204 + ... + 24468196.

Almost surely, 2^122157240100 is an apocalyptic number.

122157240100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122157240100 is the 349510-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122157240100

122157240100 is an abundant number, since it is smaller than the sum of its proper divisors (186264306767).

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

122157240100 is an frugal number, since it uses more digits than its factorization.

122157240100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10014 (or 5007 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 25.

Multiplying 122157240100 by its sum of digits (25), we get a square (3053931002500 = 1747550²).

122157240100 divided by its sum of digits (25) gives a square (4886289604 = 69902²).

Adding to 122157240100 its reverse (1042751221), we get a palindrome (123199991321).

The spelling of 122157240100 in words is "one hundred twenty-two billion, one hundred fifty-seven million, two hundred forty thousand, one hundred".