102010201101122 has 32 divisors (see below), whose sum is σ = 158358946702320. Its totient is φ = 49225383567360.

The previous prime is 102010201101103. The next prime is 102010201101157. The reversal of 102010201101122 is 221101102010201.

It can be written as a sum of positive squares in 8 ways, for example, as 4061591284921 + 97948609816201 = 2015339^2 + 9896899^2 .

It is a super-2 number, since 2×102010201101122² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102010201101097 and 102010201101106.

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 15 ways as a sum of consecutive naturals, for example, 2178890258 + ... + 2178937074.

Almost surely, 2^{102010201101122} is an apocalyptic number.

102010201101122 is a deficient number, since it is larger than the sum of its proper divisors (56348745601198).

102010201101122 is a wasteful number, since it uses less digits than its factorization.

102010201101122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62006.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 102010201101122 its reverse (221101102010201), we get a palindrome (323111303111323).

The spelling of 102010201101122 in words is "one hundred two trillion, ten billion, two hundred one million, one hundred one thousand, one hundred twenty-two".