101002000221122 has 64 divisors (see below), whose sum is σ = 203421283123968. Its totient is φ = 36323562240000.

The previous prime is 101002000221091. The next prime is 101002000221131. The reversal of 101002000221122 is 221122000200101.

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 = 101002000221097 and 101002000221106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90256622 + ... + 91368822.

It is an arithmetic number, because the mean of its divisors is an integer number (3178457548812).

Almost surely, 2^{101002000221122} is an apocalyptic number.

101002000221122 is an abundant number, since it is smaller than the sum of its proper divisors (102419282902846).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101002000221122 is a wasteful number, since it uses less digits than its factorization.

101002000221122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157595.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 101002000221122 its reverse (221122000200101), we get a palindrome (322124000421223).

The spelling of 101002000221122 in words is "one hundred one trillion, two billion, two hundred twenty-one thousand, one hundred twenty-two".