101102002212001 has 16 divisors (see below), whose sum is σ = 116583894589824. Its totient is φ = 85880010633984.

The previous prime is 101102002211941. The next prime is 101102002212037. The reversal of 101102002212001 is 100212200201101.

It is not a de Polignac number, because 101102002212001 - 2¹³ = 101102002203809 is a prime.

It is a super-2 number, since 2×101102002212001² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101102002212901) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3207210 + ... + 14577043.

It is an arithmetic number, because the mean of its divisors is an integer number (7286493411864).

Almost surely, 2^{101102002212001} is an apocalyptic number.

It is an amenable number.

101102002212001 is a deficient number, since it is larger than the sum of its proper divisors (15481892377823).

101102002212001 is a wasteful number, since it uses less digits than its factorization.

101102002212001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17791560.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 101102002212001 its reverse (100212200201101), we get a palindrome (201314202413102).

The spelling of 101102002212001 in words is "one hundred one trillion, one hundred two billion, two million, two hundred twelve thousand, one".