1001122020101 has 64 divisors (see below), whose sum is σ = 1216348531200. Its totient is φ = 805948932096.

The previous prime is 1001122020097. The next prime is 1001122020131. The reversal of 1001122020101 is 1010202211001.

1001122020101 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 1001122020101 - 2² = 1001122020097 is a prime.

It is a super-2 number, since 2×1001122020101² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001122020131) 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, 523324721 + ... + 523326633.

It is an arithmetic number, because the mean of its divisors is an integer number (19005445800).

Almost surely, 2^{1001122020101} is an apocalyptic number.

It is an amenable number.

1001122020101 is a deficient number, since it is larger than the sum of its proper divisors (215226511099).

1001122020101 is a wasteful number, since it uses less digits than its factorization.

1001122020101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2478.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1001122020101 its reverse (1010202211001), we get a palindrome (2011324231102).

The spelling of 1001122020101 in words is "one trillion, one billion, one hundred twenty-two million, twenty thousand, one hundred one".