101012121122122 has 128 divisors (see below), whose sum is σ = 182069146828800. Its totient is φ = 41120540697600.

The previous prime is 101012121122113. The next prime is 101012121122123. The reversal of 101012121122122 is 221221121210101.

It is a happy number.

It is a super-2 number, since 2×101012121122122² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101012121122122.

It is not an unprimeable number, because it can be changed into a prime (101012121122123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2858357529 + ... + 2858392867.

It is an arithmetic number, because the mean of its divisors is an integer number (1422415209600).

Almost surely, 2^{101012121122122} is an apocalyptic number.

101012121122122 is a deficient number, since it is larger than the sum of its proper divisors (81057025706678).

101012121122122 is a wasteful number, since it uses less digits than its factorization.

101012121122122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35972.

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

Adding to 101012121122122 its reverse (221221121210101), we get a palindrome (322233242332223).

The spelling of 101012121122122 in words is "one hundred one trillion, twelve billion, one hundred twenty-one million, one hundred twenty-two thousand, one hundred twenty-two".