100201021121011 has 16 divisors (see below), whose sum is σ = 101712403879200. Its totient is φ = 98698344484608.

The previous prime is 100201021120951. The next prime is 100201021121029. The reversal of 100201021121011 is 110121120102001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100201021121011 - 2¹⁵ = 100201021088243 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100201021120982 and 100201021121000.

It is not an unprimeable number, because it can be changed into a prime (100201021121711) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127532776 + ... + 128316058.

It is an arithmetic number, because the mean of its divisors is an integer number (6357025242450).

Almost surely, 2^{100201021121011} is an apocalyptic number.

100201021121011 is a deficient number, since it is larger than the sum of its proper divisors (1511382758189).

100201021121011 is an equidigital number, since it uses as much as digits as its factorization.

100201021121011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788838.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 100201021121011 its reverse (110121120102001), we get a palindrome (210322141223012).

The spelling of 100201021121011 in words is "one hundred trillion, two hundred one billion, twenty-one million, one hundred twenty-one thousand, eleven".