101033102211201 has 20 divisors (see below), whose sum is σ = 150968138951124. Its totient is φ = 67336592176800.

The previous prime is 101033102211187. The next prime is 101033102211253. The reversal of 101033102211201 is 102112201330101.

101033102211201 is a `hidden beast` number, since 1 + 0 + 10 + 3 + 310 + 221 + 120 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 59589120921201 + 41443981290000 = 7719399^2 + 6437700^2 .

It is not a de Polignac number, because 101033102211201 - 2⁵ = 101033102211169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101033102251201) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 173868310 + ... + 174448431.

Almost surely, 2^{101033102211201} is an apocalyptic number.

It is an amenable number.

101033102211201 is a deficient number, since it is larger than the sum of its proper divisors (49935036739923).

101033102211201 is an equidigital number, since it uses as much as digits as its factorization.

101033102211201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348320334 (or 348320325 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 101033102211201 its reverse (102112201330101), we get a palindrome (203145303541302).

The spelling of 101033102211201 in words is "one hundred one trillion, thirty-three billion, one hundred two million, two hundred eleven thousand, two hundred one".