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1020011010021 = 322981110194729
BaseRepresentation
bin11101101011111010110…
…01001101011111100101
310121111211022200001122100
432311331121031133211
5113202440304310041
62100330411522313
7133456552350063
oct16657531153745
93544738601570
101020011010021
11363647694a03
12145827759399
1375257029983
1437523d97033
151b7ed4596b6
hexed7d64d7e5

1020011010021 has 48 divisors (see below), whose sum is σ = 1527854328000. Its totient is φ = 654967192320.

The previous prime is 1020011010001. The next prime is 1020011010023. The reversal of 1020011010021 is 1200101100201.

It is a happy number.

It is not a de Polignac number, because 1020011010021 - 25 = 1020011009989 is a prime.

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 = 1020011009985 and 1020011010012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020011010023) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 215690385 + ... + 215695113.

It is an arithmetic number, because the mean of its divisors is an integer number (31830298500).

Almost surely, 21020011010021 is an apocalyptic number.

It is an amenable number.

1020011010021 is a deficient number, since it is larger than the sum of its proper divisors (507843317979).

1020011010021 is a wasteful number, since it uses less digits than its factorization.

1020011010021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6594 (or 6591 counting only the distinct ones).

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

Adding to 1020011010021 its reverse (1200101100201), we get a palindrome (2220112110222).

The spelling of 1020011010021 in words is "one trillion, twenty billion, eleven million, ten thousand, twenty-one".

Divisors: 1 3 9 29 87 261 811 1019 2433 3057 4729 7299 9171 14187 23519 29551 42561 70557 88653 137141 211671 265959 411423 826409 1234269 2479227 3835219 4818851 7437681 11505657 14456553 23965861 34516971 43369659 71897583 111221351 139746679 215692749 333664053 419240037 1000992159 1257720111 3908088161 11724264483 35172793449 113334556669 340003670007 1020011010021