101102121200210 has 96 divisors (see below), whose sum is σ = 199954283976720. Its totient is φ = 36583879901184.

The previous prime is 101102121200191. The next prime is 101102121200233. The reversal of 101102121200210 is 12002121201101.

It can be written as a sum of positive squares in 24 ways, for example, as 97671257797129 + 3430863403081 = 9882877^2 + 1852259^2 .

It is a super-2 number, since 2×101102121200210² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

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 47 ways as a sum of consecutive naturals, for example, 147395162 + ... + 148079498.

Almost surely, 2^{101102121200210} is an apocalyptic number.

101102121200210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101102121200210 is a deficient number, since it is larger than the sum of its proper divisors (98852162776510).

101102121200210 is a wasteful number, since it uses less digits than its factorization.

101102121200210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684672 (or 684559 counting only the distinct ones).

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

Adding to 101102121200210 its reverse (12002121201101), we get a palindrome (113104242401311).

The spelling of 101102121200210 in words is "one hundred one trillion, one hundred two billion, one hundred twenty-one million, two hundred thousand, two hundred ten".