1012112001201 has 64 divisors (see below), whose sum is σ = 1572613447680. Its totient is φ = 567084810240.

The previous prime is 1012112001113. The next prime is 1012112001221. The reversal of 1012112001201 is 1021002112101.

1012112001201 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 1012112001201 - 2¹⁵ = 1012111968433 is a prime.

It is a super-3 number, since 3×1012112001201³ (a number of 37 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1012112001221) 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, 147944541 + ... + 147951381.

It is an arithmetic number, because the mean of its divisors is an integer number (24572085120).

Almost surely, 2^{1012112001201} is an apocalyptic number.

It is an amenable number.

1012112001201 is a deficient number, since it is larger than the sum of its proper divisors (560501446479).

1012112001201 is a wasteful number, since it uses less digits than its factorization.

1012112001201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7534.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1012112001201 its reverse (1021002112101), we get a palindrome (2033114113302).

The spelling of 1012112001201 in words is "one trillion, twelve billion, one hundred twelve million, one thousand, two hundred one".