100001212202001 has 64 divisors (see below), whose sum is σ = 148498841327616. Its totient is φ = 59353901184000.

The previous prime is 100001212201949. The next prime is 100001212202033. The reversal of 100001212202001 is 100202212100001.

It is not a de Polignac number, because 100001212202001 - 2²¹ = 100001210104849 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100001212252001) 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, 230523561 + ... + 230956953.

It is an arithmetic number, because the mean of its divisors is an integer number (2320294395744).

Almost surely, 2^{100001212202001} is an apocalyptic number.

100001212202001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100001212202001 is a deficient number, since it is larger than the sum of its proper divisors (48497629125615).

100001212202001 is a wasteful number, since it uses less digits than its factorization.

100001212202001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434262.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100001212202001 its reverse (100202212100001), we get a palindrome (200203424302002).

The spelling of 100001212202001 in words is "one hundred trillion, one billion, two hundred twelve million, two hundred two thousand, one".