10010201121011 has 64 divisors (see below), whose sum is σ = 12888496373760. Its totient is φ = 7562094059520.

The previous prime is 10010201120957. The next prime is 10010201121049. The reversal of 10010201121011 is 11012110201001.

It is not a de Polignac number, because 10010201121011 - 2²² = 10010196926707 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10010201120983 and 10010201121001.

It is not an unprimeable number, because it can be changed into a prime (10010201121091) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 116201891 + ... + 116288003.

It is an arithmetic number, because the mean of its divisors is an integer number (201382755840).

Almost surely, 2^{10010201121011} is an apocalyptic number.

10010201121011 is a deficient number, since it is larger than the sum of its proper divisors (2878295252749).

10010201121011 is a wasteful number, since it uses less digits than its factorization.

10010201121011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86716.

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

Adding to 10010201121011 its reverse (11012110201001), we get a palindrome (21022311322012).

The spelling of 10010201121011 in words is "ten trillion, ten billion, two hundred one million, one hundred twenty-one thousand, eleven".