102100201329 has 16 divisors (see below), whose sum is σ = 158516756352. Its totient is φ = 57242160768.

The previous prime is 102100201327. The next prime is 102100201361. The reversal of 102100201329 is 923102001201.

It is not a de Polignac number, because 102100201329 - 2¹ = 102100201327 is a prime.

It is a super-2 number, since 2×102100201329² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (102100201327) 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, 45866004 + ... + 45868229.

It is an arithmetic number, because the mean of its divisors is an integer number (9907297272).

Almost surely, 2^102100201329 is an apocalyptic number.

It is an amenable number.

102100201329 is a deficient number, since it is larger than the sum of its proper divisors (56416555023).

102100201329 is an equidigital number, since it uses as much as digits as its factorization.

102100201329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91734296.

The product of its (nonzero) digits is 216, while the sum is 21.

The spelling of 102100201329 in words is "one hundred two billion, one hundred million, two hundred one thousand, three hundred twenty-nine".