101211222101122 has 128 divisors (see below), whose sum is σ = 190749454156800. Its totient is φ = 39271122272256.

The previous prime is 101211222100999. The next prime is 101211222101141. The reversal of 101211222101122 is 221101222112101.

It is a happy number.

It is a super-2 number, since 2×101211222101122² (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 101211222101122.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11889015138 + ... + 11889023650.

It is an arithmetic number, because the mean of its divisors is an integer number (1490230110600).

Almost surely, 2^{101211222101122} is an apocalyptic number.

101211222101122 is a deficient number, since it is larger than the sum of its proper divisors (89538232055678).

101211222101122 is a wasteful number, since it uses less digits than its factorization.

101211222101122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14740.

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

Adding to 101211222101122 its reverse (221101222112101), we get a palindrome (322312444213223).

The spelling of 101211222101122 in words is "one hundred one trillion, two hundred eleven billion, two hundred twenty-two million, one hundred one thousand, one hundred twenty-two".