10201101012111 has 16 divisors (see below), whose sum is σ = 14338608707840. Its totient is φ = 6433227360000.

The previous prime is 10201101012097. The next prime is 10201101012133. The reversal of 10201101012111 is 11121010110201.

It is not a de Polignac number, because 10201101012111 - 2⁹ = 10201101011599 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201101012811) 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, 132923515 + ... + 133000236.

It is an arithmetic number, because the mean of its divisors is an integer number (896163044240).

Almost surely, 2^{10201101012111} is an apocalyptic number.

10201101012111 is a deficient number, since it is larger than the sum of its proper divisors (4137507695729).

10201101012111 is a wasteful number, since it uses less digits than its factorization.

10201101012111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265924446.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 10201101012111 its reverse (11121010110201), we get a palindrome (21322111122312).

The spelling of 10201101012111 in words is "ten trillion, two hundred one billion, one hundred one million, twelve thousand, one hundred eleven".