10100912180101 has 8 divisors (see below), whose sum is σ = 10543632390720. Its totient is φ = 9658487812512.

The previous prime is 10100912180059. The next prime is 10100912180119. The reversal of 10100912180101 is 10108121900101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10100912180101 - 2¹¹ = 10100912178053 is a prime.

It is a super-2 number, since 2×10100912180101² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100982180101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73890975 + ... + 74027548.

It is an arithmetic number, because the mean of its divisors is an integer number (1317954048840).

Almost surely, 2^{10100912180101} is an apocalyptic number.

It is an amenable number.

10100912180101 is a deficient number, since it is larger than the sum of its proper divisors (442720210619).

10100912180101 is a wasteful number, since it uses less digits than its factorization.

10100912180101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147921515.

The product of its (nonzero) digits is 144, while the sum is 25.

The spelling of 10100912180101 in words is "ten trillion, one hundred billion, nine hundred twelve million, one hundred eighty thousand, one hundred one".