101201121122122 has 128 divisors (see below), whose sum is σ = 182712659558400. Its totient is φ = 41127209049600.

The previous prime is 101201121122111. The next prime is 101201121122131. The reversal of 101201121122122 is 221221121102101.

It is a happy number.

It is a super-3 number, since 3×101201121122122³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 101201121122122.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10834073172 + ... + 10834082512.

It is an arithmetic number, because the mean of its divisors is an integer number (1427442652800).

Almost surely, 2^{101201121122122} is an apocalyptic number.

101201121122122 is a deficient number, since it is larger than the sum of its proper divisors (81511538436278).

101201121122122 is a wasteful number, since it uses less digits than its factorization.

101201121122122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10772.

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 101201121122122 its reverse (221221121102101), we get a palindrome (322422242224223).

The spelling of 101201121122122 in words is "one hundred one trillion, two hundred one billion, one hundred twenty-one million, one hundred twenty-two thousand, one hundred twenty-two".