1020011122101 has 8 divisors (see below), whose sum is σ = 1360025281440. Its totient is φ = 680002188752.

The previous prime is 1020011122093. The next prime is 1020011122159. The reversal of 1020011122101 is 1012211100201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1020011122101 - 2³ = 1020011122093 is a prime.

It is a super-2 number, since 2×1020011122101² (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 (1020011122601) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 825810 + ... + 1649843.

It is an arithmetic number, because the mean of its divisors is an integer number (170003160180).

Almost surely, 2^{1020011122101} is an apocalyptic number.

It is an amenable number.

1020011122101 is a deficient number, since it is larger than the sum of its proper divisors (340014159339).

1020011122101 is a wasteful number, since it uses less digits than its factorization.

1020011122101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2612995.

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

Adding to 1020011122101 its reverse (1012211100201), we get a palindrome (2032222222302).

The spelling of 1020011122101 in words is "one trillion, twenty billion, eleven million, one hundred twenty-two thousand, one hundred one".