102200002201101 has 16 divisors (see below), whose sum is σ = 155733837259904. Its totient is φ = 58399813543104.

The previous prime is 102200002201091. The next prime is 102200002201123. The reversal of 102200002201101 is 101102200002201.

It is not a de Polignac number, because 102200002201101 - 2¹⁵ = 102200002168333 is a prime.

It is a super-2 number, since 2×102200002201101² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102200002201601) 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, 993970 + ... + 14331363.

It is an arithmetic number, because the mean of its divisors is an integer number (9733364828744).

Almost surely, 2^{102200002201101} is an apocalyptic number.

It is an amenable number.

102200002201101 is a deficient number, since it is larger than the sum of its proper divisors (53533835058803).

102200002201101 is a wasteful number, since it uses less digits than its factorization.

102200002201101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15642900.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102200002201101 its reverse (101102200002201), we get a palindrome (203302202203302).

It can be divided in two parts, 102200002201 and 101, that multiplied together give a palindrome (10322200222301).

The spelling of 102200002201101 in words is "one hundred two trillion, two hundred billion, two million, two hundred one thousand, one hundred one".