101012011112201 has 32 divisors (see below), whose sum is σ = 118212723993600. Its totient is φ = 84520959344640.

The previous prime is 101012011112179. The next prime is 101012011112209. The reversal of 101012011112201 is 102211110210101.

It is a de Polignac number, because none of the positive numbers 2^k-101012011112201 is a prime.

It is a super-2 number, since 2×101012011112201² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101012011112209) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104235785 + ... + 105200393.

It is an arithmetic number, because the mean of its divisors is an integer number (3694147624800).

Almost surely, 2^{101012011112201} is an apocalyptic number.

It is an amenable number.

101012011112201 is a deficient number, since it is larger than the sum of its proper divisors (17200712881399).

101012011112201 is a wasteful number, since it uses less digits than its factorization.

101012011112201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 966089.

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

Adding to 101012011112201 its reverse (102211110210101), we get a palindrome (203223121322302).

The spelling of 101012011112201 in words is "one hundred one trillion, twelve billion, eleven million, one hundred twelve thousand, two hundred one".