122121120101202 has 96 divisors (see below), whose sum is σ = 283900930026480. Its totient is φ = 37862471001600.

The previous prime is 122121120101177. The next prime is 122121120101209. The reversal of 122121120101202 is 202101021121221.

122121120101202 is a `hidden beast` number, since 1 + 221 + 21 + 120 + 101 + 202 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 93442749563241 + 28678370537961 = 9666579^2 + 5355219^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (122121120101209) 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, 29350933 + ... + 33252360.

Almost surely, 2^{122121120101202} is an apocalyptic number.

122121120101202 is an abundant number, since it is smaller than the sum of its proper divisors (161779809925278).

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

122121120101202 is a wasteful number, since it uses less digits than its factorization.

122121120101202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62603468 (or 62603465 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 122121120101202 its reverse (202101021121221), we get a palindrome (324222141222423).

The spelling of 122121120101202 in words is "one hundred twenty-two trillion, one hundred twenty-one billion, one hundred twenty million, one hundred one thousand, two hundred two".