10101033232101 has 72 divisors (see below), whose sum is σ = 17353717115904. Its totient is φ = 5642654068800.

The previous prime is 10101033232063. The next prime is 10101033232117. The reversal of 10101033232101 is 10123233010101.

10101033232101 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 10 + 332 + 321 + 0 + 1 = 666.

It is not a de Polignac number, because 10101033232101 - 2⁷ = 10101033231973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101033232151) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17605051 + ... + 18169751.

It is an arithmetic number, because the mean of its divisors is an integer number (241023848832).

Almost surely, 2^{10101033232101} is an apocalyptic number.

It is an amenable number.

10101033232101 is a deficient number, since it is larger than the sum of its proper divisors (7252683883803).

10101033232101 is a wasteful number, since it uses less digits than its factorization.

10101033232101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565631 (or 565621 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10101033232101 its reverse (10123233010101), we get a palindrome (20224266242202).

The spelling of 10101033232101 in words is "ten trillion, one hundred one billion, thirty-three million, two hundred thirty-two thousand, one hundred one".