101201001101122 has 32 divisors (see below), whose sum is σ = 163645076070000. Its totient is φ = 46660589015040.

The previous prime is 101201001101111. The next prime is 101201001101143. The reversal of 101201001101122 is 221101100102101.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 38217111636001 + 62983889465121 = 6181999^2 + 7936239^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149725158 + ... + 150399550.

Almost surely, 2^{101201001101122} is an apocalyptic number.

101201001101122 is a deficient number, since it is larger than the sum of its proper divisors (62444074968878).

101201001101122 is a wasteful number, since it uses less digits than its factorization.

101201001101122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680278.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101201001101122 its reverse (221101100102101), we get a palindrome (322302101203223).

The spelling of 101201001101122 in words is "one hundred one trillion, two hundred one billion, one million, one hundred one thousand, one hundred twenty-two".