10100012102111 has 4 divisors (see below), whose sum is σ = 10314905976672. Its totient is φ = 9885118227552.

The previous prime is 10100012102101. The next prime is 10100012102129. The reversal of 10100012102111 is 11120121000101.

It is a semiprime because it is the product of two primes.

It is not a de Polignac number, because 10100012102111 - 2¹⁰ = 10100012101087 is a prime.

It is a super-2 number, since 2×10100012102111² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10100012102092 and 10100012102101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100012102101) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 107446937210 + ... + 107446937303.

It is an arithmetic number, because the mean of its divisors is an integer number (2578726494168).

Almost surely, 2^{10100012102111} is an apocalyptic number.

10100012102111 is a deficient number, since it is larger than the sum of its proper divisors (214893874561).

10100012102111 is an equidigital number, since it uses as much as digits as its factorization.

10100012102111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214893874560.

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

Adding to 10100012102111 its reverse (11120121000101), we get a palindrome (21220133102212).

The spelling of 10100012102111 in words is "ten trillion, one hundred billion, twelve million, one hundred two thousand, one hundred eleven".