10201012121111 has 48 divisors (see below), whose sum is σ = 12451390308000. Its totient is φ = 8322103238400.

The previous prime is 10201012121107. The next prime is 10201012121119. The reversal of 10201012121111 is 11112121010201.

10201012121111 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10201012121111 - 2² = 10201012121107 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201012121119) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32711120 + ... + 33021498.

It is an arithmetic number, because the mean of its divisors is an integer number (259403964750).

Almost surely, 2^{10201012121111} is an apocalyptic number.

10201012121111 is a deficient number, since it is larger than the sum of its proper divisors (2250378186889).

10201012121111 is a wasteful number, since it uses less digits than its factorization.

10201012121111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310752 (or 310745 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 10201012121111 its reverse (11112121010201), we get a palindrome (21313133131312).

The spelling of 10201012121111 in words is "ten trillion, two hundred one billion, twelve million, one hundred twenty-one thousand, one hundred eleven".