101201101011122 has 16 divisors (see below), whose sum is σ = 173586230315520. Its totient is φ = 43347243287808.

The previous prime is 101201101011121. The next prime is 101201101011259. The reversal of 101201101011122 is 221110101102101.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 101201101011097 and 101201101011106.

It is not an unprimeable number, because it can be changed into a prime (101201101011121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2054736623 + ... + 2054785874.

It is an arithmetic number, because the mean of its divisors is an integer number (10849139394720).

Almost surely, 2^{101201101011122} is an apocalyptic number.

101201101011122 is a deficient number, since it is larger than the sum of its proper divisors (72385129304398).

101201101011122 is a wasteful number, since it uses less digits than its factorization.

101201101011122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4109524265.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 101201101011122 its reverse (221110101102101), we get a palindrome (322311202113223).

The spelling of 101201101011122 in words is "one hundred one trillion, two hundred one billion, one hundred one million, eleven thousand, one hundred twenty-two".