10201101102012 has 12 divisors (see below), whose sum is σ = 23802569238056. Its totient is φ = 3400367034000.

The previous prime is 10201101102011. The next prime is 10201101102083. The reversal of 10201101102012 is 21020110110201.

It is a tau number, because it is divible by the number of its divisors (12).

It is a Harshad number since it is a multiple of its sum of digits (12), and also a Moran number because the ratio is a prime number: 850091758501 = 10201101102012 / (1 + 0 + 2 + 0 + 1 + 1 + 0 + 1 + 1 + 0 + 2 + 0 + 1 + 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201101102011) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 425045879239 + ... + 425045879262.

Almost surely, 2^{10201101102012} is an apocalyptic number.

10201101102012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10201101102012 is an abundant number, since it is smaller than the sum of its proper divisors (13601468136044).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10201101102012 is a wasteful number, since it uses less digits than its factorization.

10201101102012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 850091758508 (or 850091758506 counting only the distinct ones).

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

Adding to 10201101102012 its reverse (21020110110201), we get a palindrome (31221211212213).

It can be divided in two parts, 1020110110201 and 2, that multiplied together give a palindrome (2040220220402).

The spelling of 10201101102012 in words is "ten trillion, two hundred one billion, one hundred one million, one hundred two thousand, twelve".