101122001002210 has 128 divisors (see below), whose sum is σ = 194286738469824. Its totient is φ = 37762490695680.

The previous prime is 101122001002207. The next prime is 101122001002237. The reversal of 101122001002210 is 12200100221101.

It can be written as a sum of positive squares in 32 ways, for example, as 4717153953801 + 96404847048409 = 2171901^2 + 9818597^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34905763482 + ... + 34905766378.

Almost surely, 2^{101122001002210} is an apocalyptic number.

101122001002210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101122001002210 is a deficient number, since it is larger than the sum of its proper divisors (93164737467614).

101122001002210 is a wasteful number, since it uses less digits than its factorization.

101122001002210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5608.

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

Adding to 101122001002210 its reverse (12200100221101), we get a palindrome (113322101223311).

The spelling of 101122001002210 in words is "one hundred one trillion, one hundred twenty-two billion, one million, two thousand, two hundred ten".