1020001002111 has 128 divisors (see below), whose sum is σ = 2042836992000. Its totient is φ = 487543909248.

The previous prime is 1020001002109. The next prime is 1020001002127. The reversal of 1020001002111 is 1112001000201.

It is a happy number.

It is not a de Polignac number, because 1020001002111 - 2¹ = 1020001002109 is a prime.

It is a super-3 number, since 3×1020001002111³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1020001002093 and 1020001002102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020001002151) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 598720 + ... + 1548698.

It is an arithmetic number, because the mean of its divisors is an integer number (15959664000).

Almost surely, 2^{1020001002111} is an apocalyptic number.

1020001002111 is an abundant number, since it is smaller than the sum of its proper divisors (1022835989889).

1020001002111 is a wasteful number, since it uses less digits than its factorization.

1020001002111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 950050 (or 950044 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1020001002111 its reverse (1112001000201), we get a palindrome (2132002002312).

The spelling of 1020001002111 in words is "one trillion, twenty billion, one million, two thousand, one hundred eleven".