10000101200111 has 16 divisors (see below), whose sum is σ = 11261397636096. Its totient is φ = 8797519080000.

The previous prime is 10000101200099. The next prime is 10000101200137. The reversal of 10000101200111 is 11100210100001.

It is a happy number.

10000101200111 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10000101200111 - 2²² = 10000097005807 is a prime.

It is a super-2 number, since 2×10000101200111² (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 (10000101200191) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13836971 + ... + 14541731.

It is an arithmetic number, because the mean of its divisors is an integer number (703837352256).

Almost surely, 2^{10000101200111} is an apocalyptic number.

10000101200111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10000101200111 is a deficient number, since it is larger than the sum of its proper divisors (1261296435985).

10000101200111 is a wasteful number, since it uses less digits than its factorization.

10000101200111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746414.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 10000101200111 its reverse (11100210100001), we get a palindrome (21100311300112).

The spelling of 10000101200111 in words is "ten trillion, one hundred one million, two hundred thousand, one hundred eleven".