100120020122001 has 64 divisors (see below), whose sum is σ = 154379825462016. Its totient is φ = 57041225318400.

The previous prime is 100120020121951. The next prime is 100120020122053. The reversal of 100120020122001 is 100221020021001.

It is not a de Polignac number, because 100120020122001 - 2¹⁵ = 100120020089233 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100120020122201) 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, 4249384261 + ... + 4249407821.

It is an arithmetic number, because the mean of its divisors is an integer number (2412184772844).

Almost surely, 2^{100120020122001} is an apocalyptic number.

100120020122001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100120020122001 is a deficient number, since it is larger than the sum of its proper divisors (54259805340015).

100120020122001 is a wasteful number, since it uses less digits than its factorization.

100120020122001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32322.

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

Adding to 100120020122001 its reverse (100221020021001), we get a palindrome (200341040143002).

The spelling of 100120020122001 in words is "one hundred trillion, one hundred twenty billion, twenty million, one hundred twenty-two thousand, one".