101001121100210 has 16 divisors (see below), whose sum is σ = 184782378931992. Its totient is φ = 39738146006400.

The previous prime is 101001121100207. The next prime is 101001121100233. The reversal of 101001121100210 is 12001121100101.

It can be written as a sum of positive squares in 4 ways, for example, as 65810563241641 + 35190557858569 = 8112371^2 + 5932163^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101001121100191 and 101001121100200.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82787803571 + ... + 82787804790.

Almost surely, 2^{101001121100210} is an apocalyptic number.

101001121100210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101001121100210 is a deficient number, since it is larger than the sum of its proper divisors (83781257831782).

101001121100210 is a wasteful number, since it uses less digits than its factorization.

101001121100210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165575608429.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101001121100210 its reverse (12001121100101), we get a palindrome (113002242200311).

The spelling of 101001121100210 in words is "one hundred one trillion, one billion, one hundred twenty-one million, one hundred thousand, two hundred ten".